MCQ Questions

Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. Students can download the Lines and Angles Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 5 Lines and Angles Objective Questions.

Lines and Angles Class 7 MCQs Questions with Answers

Students are advised to solve the Lines and Angles Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Lines and Angles Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Lines and Angles Class 7 with answers provided with detailed solutions by looking below.

Question 1.
(180°, 5°) pair of angle is given :
(a) complementary
(b) supplementary
(c) None of these

Question 2.
What is the measure of the complement of 65°?
(a) 25°
(b) 55°
(c) 65°
(d) 45°

Question 3.
Complementary to 0° angle is :
(a) 90°
(b) 95°
(c) 75°
(d) None of these

Question 4.
Identify which of the following pairs of angles are complementary.
(a) 65°, 115°
(b) 130°, 50°
(c) 63°, 27°
(d) 112°, 68°

Question 5.
Complementary to 70° angle is :
(a) 20°
(b) 30°
(c) 40°
(d) None of these

Question 6.
What happens to the measurement of an angle after the extension of its arms?
(a) Doubles
(b) Triples
(c) Remains the same
(d) Cannot be said

Question 7.
Complementary to 95° angle is :
(a) 5°
(b) 0°
(c) 10°
(d) None of these

Question 8.
What is the supplement of 105°
(a) 65°
(b) 75°
(c) 85°
(d) 95°

Question 9.
Find the value of x in the given figure if lines \( p \parallel q \) :

(a) x = 60°
(b) 50°
(c) 75°
(d) none of these

Question 10.
Identify which of the following pairs of angles are supplementary.
(a) 45°, 45°
(b) 63°, 27°
(c) 112°, 68°
(d) 80°, 10°

Question 11.
Measure of the supplement of 0° :
(a) 180°
(b) 90°
(c) 175°
(d) None of these

Question 12.
What do we call an angle whose measurement is exactly equal to 0°?
(a) An obtuse angle
(b) A straight angle
(c) A zero angle
(d) A right angle

Question 13.
If in the given figure \( l \parallel m \) then :

(a) x = 50°
(b) x = 60°
(c) No relation

Question 14.
What are the lines which lie on the same plane and do not intersect at any point called?
(a) Perpendicular lines
(b) Intersecting lines
(c) Parallel lines
(d) Collinear lines

Question 15.
In the given figure value of x is :

(a) 55°
(b) 45°
(c) 65°
(d) None of these

Question 16.
Find the angle, which is equal to its complement.
(a) 45°
(b) 25°
(c) 35°
(d) 30°

Question 17.
Indicate vertically opposite angles :

(a) (a, d)
(b) (a, b) and (c, d)
(c) (a, c) and
(d) None of these

Question 18.
How many rays can be drawn from a given point?
(a) 2
(b) 5
(c) 8
(d) Infinitely many

Question 19.
What do we call an angle which exactly measures 90°?
(a) An obtuse angle
(b) An acute angle
(c) A right angle
(d) A reflex angle

Question 20.
If two angles are supplementary then the sum of their measures is __________.
(a) 45°
(b) 180°
(c) 90°
(d) 360°

Question 21.
Measure of the supplement of 100° :
(a) 70°
(b) 75°
(c) 80°
(d) None of these

Question 22.
The sum of all angles around a point is
(a) 0°
(b) 180°
(c) 360°
(d) 90°

Question 23.
Which instrument is used to measure or construct angles?
(a) Compasses
(b) Scale
(c) Protractor
(d) Set squares

Question 24.
Measure of the supplement of 55° :
(a) 45°
(b) 125°
(c) 100°
(d) None of these

Question 25.
A line that intersects two or more lines at distinct points is called
(a) parallel
(b) transversal
(c) intersecting
(d) None of these

Question 26.
Complementary pair of angles :
(a) 70+ 20
(b) 30 + 45
(c) 0 + 95
(d) None of these

Question 27.
Find the angle, which is equal to its supplement.
(a) 60°
(b) 90°
(c) 120°
(d) 30°

Question 28.
Identify supplementary pair of angles :
(a) 0° – 90°
(b) 30°, 150°
(c) 45° – 145°
(d) None of these

Question 29.
If two lines intersect at a point, then the vertically opposite angles are always ________ .
(a) supplementary
(b) equal
(c) unequal
(d) none of these

Question 30.
If in the given figure \(\angle \) x = \(\angle \) y then :

(a) \( l \parallel m \)
(b) l ≠ m
(c) none of these

Question 31.
If two adjacent angles are supplementary, then they form _________ .
(a) a linear pair of angles
(b) vertically opposite angles
(c) Corresponding angles
(d) a ray

Question 32.
In the given value of x is :

(a) 35°
(c) 15°
(b) 90°
(d) None of these

Question 33.
What is the measure of the complement of 41°?
(a) 135°
(b) 15°
(c) 49°
(d) None of these

Question 34.
Find sum of angle x and y if in the given figure \( l \parallel m \):

(a) 90°
(b) 180°
(c) 175°
(d) none of these

Match the following:

Question 1.

Question 2.

State whether the given statements are true or false:

Question 1.
Can two acute angles form a linear pair ?

Question 2.
Can two obtuse angles form a linear pair ?

Question 3.
Can two right angles forms a linear pair ?

Question 4.
Are two alternate angles equal if a transversal intersects two parallel lines ?

Question 5.
One acute and one obtuse angle can form a linear pair.

Question 6.
Two obtuse angles are complementary.

Question 7.
One acute and one obtuse angle can be supplementary.

Question 8.
Sum of linear pair is 180°.

Fill in the blanks:

1. The sum of the measures of two angles is 180°, the angles are called ………… angles.

2. Two lines intersect and the vertically opposite angles so formed are ……………….

3. Adjacent angles have a common …………… and a common …………………

4. If two adjacent angles are supplementary, they form a ………………

5. The sum of the measures of two angles is 90°, the angles are called ………….. angles.

6. Line segment has ………… end points.

7. Two angles forming a linear pair are …………….

With the help of given figure, Answer the following questions:

Question 1.
Interior angles

Question 2.
Exterior angles

Question 3.
Pairs of corresponding angles

Question 4.
Pairs of alternate interior angles

Question 5.
Pairs of alternate exterior angles

Question 6.
Pair of interior angles on the same side of the transversal

We believe the knowledge shared regarding NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 7 Maths Lines and Angles MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.

Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. Students can download the Triangles and its Properties Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 6 The Triangles and its Properties Objective Questions.

The Triangles and its Properties Class 7 MCQs Questions with Answers

Students are advised to solve The Triangles and its Properties Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on The Triangles and its Properties Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of The Triangles and its Properties Class 7 with answers provided with detailed solutions by looking below.

Question 1.
A triangle has how many sides :
(a) three
(b) five
(c) four
(d) None of these

Question 2.
A triangle has medians :
(a) 2
(b) 1
(c) 3
(d) None of these

Question 3.
A triangle has altitudes :
(a) 2
(b) 3
(c) 1
(d) None of these

Question 4.
Find the value of x :

(a) 120°
(b) 110°
(c) 100°
(d) None of these

Question 5.
Find the value of y :

(a) 50°
(b) 70°
(c) 40°
(d) None of these

Question 6.
Sum of three angles of a triangle is :
(a) 170°
(b) 90°
(c) 180°
(d) None of these

Question 7.
Find the third angle of the given triangle

(a) 71°
(b) 61°
(c) 81°
(d) None of these

Question 8.
Find the unknown x in the following diagram

(a) 60°
(b) 30°
(c) 90°
(d) None of these

Question 9.
Find the value of x in the given diagram :

(a) 65°
(b) 50°
(c) 70°
(d) None of these

Question 10.
Find the value of x in the given diagram :

(a) 4°
(b) 60°
(c) 80°
(d) None of these

Question 11.
Find the value of x in the given diagram :

(a) 30°
(b) 45°
(c) 60°
(d) None of these

Question 12.
Find the value of x and y in the following diagram

(a) (60, 70)
(b) (50, 70)
(c) (70, 60)
(d) None of these

Question 13.
Find the value of x and y in the following diagram

(a) (110, 70)
(b) 70, 110)
(c) (60, 120)
(d) none of these

Question 14.
Find the value of x and y in the following diagram :

(a) (60,90)
(b) (90,60)
(c) (60,60)
(d) none of these

Question 15.
Find the angle x in given diagram :

(a) 30°
(b) 60°
(c) 40°
(d) none of these

Question 16.
Find the angle x in the given diagram

(a) 40°
(b) 50°
(c) 80°
(d) none of these

Question 17.
If two sides of a triangle are added then the result is :
(a) greater than third
(b) less than third
(c) equal to third
(d) none of these

Question 18.
In a ΔABC, if AB+BC = 10 cm, BC+CA = 12 cm, CA+AB = 16 cm, then the perimeter of the triangle is ____.
(a) 19cm
(b) 17cm
(c) 28cm
(d) 22cm

Question 19.
In the Pythagoras property, the triangle must be ___________ .
(a) obtuse-angled
(b) acute-angled
(c) right-angled
(d) none of these

Question 20.
Which is the longest side in the triangle PQR right angled at P?
(a) PQ
(b) QR
(c) PR
(d) None of these

Question 21.
If the angles of a triangle are in the ratio 4:5:9. Find all the angles of a the triangle
(a) 40°, 50°, 90°
(b) 90°, 72°, 18°
(c) 9°, 90°, 55°
(d) 45°, 60°, 18°

Question 22.
How many altitudes can a triangle have?
(a) 1
(b) 2
(c) 3
(d) None of these

Question 23.
How many medians a triangle can have?
(a) 1
(b) 2
(c) 3
(d) none of these

Question 24.
The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.
(a) greater than
(b) half
(c) less than
(d) double

Question 25.
The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a
(a) obtuse-angled triangle
(b) right-angled triangle
(c) acute-angled triangle
(d) None of these

Question 26.
A triangle in which two sides are of equal lengths is called _______________.
(a) scalene
(b) acute-angled
(c) equilateral
(d) isosceles

Question 27.
Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the field.
(a) 150 cm
(b) 140 cm
(c) 130cm
(d) 120cm

Question 28.
ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.
(a) 8 cm
(b) 5 cm
(c) 7 cm
(d) 3 cm

Question 29.
In a ΔABC, which of the given condition holds?
(a) AB − BC > CA
(b) AB + BC < CA
(c) AB − BC < CA
(d) AB + CA < BC

Question 30.
One of the angles of a triangle is 110° and the other two angles are equal what is the measure of each of these equal angles
(a) 35°,35°
(b) 40°, 40°
(c) 11°, 11°
(d) 80° , 80°

Question 31.
Which is the longest side in the triangle ABC right angled at B?
(a) AB
(b) AC
(c) BC
(d) None of these

Question 32.
Which is the longest side of a right triangle?
(a) Base
(b) Perpendicular
(c) Hypotenuse
(d) None of these

Question 33.
A/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.
(a) altitude
(b) median
(c) vertex
(d) none of these

Question 34.
ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

(a) 13 cm
(b) 11 cm
(c) 20 cm
(d) None of these

Question 35.
ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
(a) ∠B>∠C
(b) ∠B<∠C
(c) ∠B=∠C
(d) None of these

State whether the given statements are true or false:

Question 1.
A triangle with two right angles.

Question 2.
A triangle with two obtuse angles.

Question 3.
A triangle with two acute angles.

Question 4.
A triangle with all the three angles equal to 60°.

Question 5.
A triangle with all the three angles less than 60°.

Match the following:

Question 1.

Question 2.

Fill in the blanks:

1. Sum of …………….. angles of the triangle is 180°.

2. The sum of any two sides of a triangle is ………….. than the third side

3. In a right angled triangle, the side opposite to the right angle is called the
the other two sides are called ……………. and ………………..

4. In a right angled triangle, the square of the hypotenuse equals the sum of the …………… of its sides.

4. There are ……………….. elements of a triangle.

5. A triangle has ……………. medians and ……………… altitudes.

6. A ……………. is a simple closed figure made of three line segments.

7. The line segment that joins a vertex of a triangle to the mid-point of opposite side is called a ……………. of a triangle.

8. Perpendicular line segment from a vertex of a triangle to its opposite side is called an ………….. of the triangle.

9. A triangle is said to be ………….. if all its sides are of different lengths

10. A triangle is said to be ………….. if any two of its sides are equal.

11. A triangle is said to be ………………… if all of its sides are equal.

12. An accute triangle is if each of its angle is …………… 90°.

13. An obtuse triangle is if one of its angle is greater than …………..

14. A …………… is if one of its angle is equal to 90°.

15. All the angles of a scalene triangle are ……………

16. All the angles of an equilateral triangle are …………….

Misc. Questions:

Is it possible to have a triangle with the following sides :

Question 1.
2 cm, 3 cm, 5 cm

Question 2.
3 cm, 6 cm, 7 cm

Question 3.
6 cm, 3 cm, 2 cm

We believe the knowledge shared regarding NCERT MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 7 Maths The Triangles and its Properties MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.

Students are advised to practice the NCERT MCQ Questions for Class 12 Physics Chapter 8 Electromagnetic Waves with Answers Pdf free download is available here. MCQ Questions for Class 12 Physics with Answers are prepared as per the Latest Exam Pattern. Students can solve these Electromagnetic Waves Class 12 MCQs Questions with Answers and assess their preparation level.

Electromagnetic Waves Class 12 MCQs Questions with Answers

Solving the Electromagnetic Waves Multiple Choice Questions of Class 12 Physics Chapter 8 MCQ can be of extreme help as you will be aware of all the concepts. These MCQ Questions on Electromagnetic Waves Class 12 with answers pave for a quick revision of the Chapter thereby helping you to enhance subject knowledge. Have a glance at the MCQ of Chapter 8 Physics Class 12 and cross-check your answers during preparation.

I. Choose the correct answer

Question 1.
If \(\vec {E}\) and \(\vec {B}\) represent electric and magnetic field vectors of the electromagnetic wave, the direction of propagation of electromagnetic wave is along
(a) \(\vec {E}\)
(b) \(\vec {B}\)
(c) \(\vec {B}\) × \(\vec {E}\)
(d) \(\vec {E}\) × \(\vec {B}\)

Question 2.
The ratio of contributions made by the electric field and magnetic field components to the intensity of an EM wave is
(a) c : 1
(b) c² : 1
(c) 1 : 1
(d) √c : 1

Question 3.
A charged particle oscillates about its mean equilibrium position with a frequency of 10⁹ Hz. The electromagnetic waves produced will not
(a) have a frequency of 10⁹ Hz.
(b) have a frequency of 2 × 10⁹ Hz.
(c) have a wavelength of 0.3 m.
(d) fall in the region of radio waves.

Question 4.
The source of electromagnetic waves can be a charge
(a) moving with a constant velocity.
(b) moving in a circular orbit.
(c) at rest.
(d) none of these.

Question 5.
A plane electromagnetic wave of frequency 25 MHz travels in free space along the x-direction. At a particular point in space and time, the electric vector is \(\vec {E}\) = 6.3 Vm^-1\(\hat {j}\). Calculate \(\vec {B}\) at
this point.
(a) 2.1 × 10^-8 T
(b) 1.2 × 10^-8 T
(c) 1.9 × 10^-8 T
(d) 0.21 × 10^-8T

Question 6.
What physical quantity is the same for X-rays of wavelength 10^-10 m, red light of wavelength 680 nm and radio waves of wavelength 500 m?
(a) Wavelength
(b) Frequency
(c) Speed
(d) None of these.

Question 7.
In an electromagnetic wave in free space, the root mean square value of the electric field is E_rms = 6 V m^-1. The peak value of the magnetic field is:
(a) 2.83 × 10^-8 T
(b) 0.70 × 10^-8 T
(c) 4.23 × 10^-8 T
(d) 1.41 × 10^-8 T

Question 8.
Arrange the following electromagnetic radiations per quantum in the order of increasing energy:
(A) Blue light
(B) Yellow light
(C) X-ray
(D) Radio wave
(a) A, B, C, D
(b) C, A, B, D
(c) B, A, D, C
(d) D, B, A, C

Question 9.
A radiation of energy ‘E’ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (c = Velocity of light)
(a) 2E/c
(b) 2E/c²
(c) E/c²
(d) E/c

Question 10.
Match List -I (Electromagnetic wave type) with List – II (Its association/application) and select the correct option from the choices given below the lists:

(a) A-iii, B-ii, C-i, D-iv
(b) A-i, B-ii, C-iii, D-iv
(c) A-iv, B-iii, C-ii, D-i
(d) A-i, B-ii, C-iv, D-iii

II. Fill in the blanks

Question 1.
The conduction current is same as …………………. whether the source is ac or dc.

Question 2.
The current that flows inside a capacitor is ………………. current.

Question 3.
An oscillating charge particle radiates ……………….

Question 4.
EM waves are …………….. in nature.

Question 5.
EM waves travel with a speed …………………

Question 6.
Human body radiates ………………… of EM spectrum.

Question 7.
EM waves transport both ………………… and ………………..

Question 8.
EM waves are produced by ………………… charsed particles.

Question 9.
In terms of permittivity (ε₀) of free space and permeability (µ₀) of free space the velocity of EM wave is ………………..

Question 10.
The ratio of velocities of light waves of wavelengths 400 nm and 800 nm in vacuum is ………………..

Question 11.
For an EM wave the electric field along the X-axis is given by E_x = E₀ sin (kz – ωt) then magnetic field is given by ……………….

Question 12.
The maximum value of electric field (E₀) and maximum value of magnetic field (B₀) in EM wave are related as ………………

Question 13.
The energy of EM wave is divided …………….. amongst the electric and the magnetic field.

Question 14.
Shorter the wavelength of an electromagnetic wave ………………….. energy it carries.

Question 15.
The orderly distribution of electromagnetic radiations according to their frequency or wavelength is termed as ……………….. spectrum.

Question 16.
………………. are used as a diagnostic tool.

Question 17.
For Sterilisation ……………….. rays are used.

Question 18.
For looking through haze ………………… are used.

Question 19.
………………. are used for cooking.

Question 20.
Waves used to transmit cellular telephone message are ………………..

Question 21.
To study structure of crystals ……………….. are used.

Question 22.
Human eye can detect ……………….. part of electromagnetic spectrum.

Question 23.
To treat cancer and tumour in radiography ………………… rays are used.

Question 24.
During the propagation of an EM wave in a medium electrical energy density is ………………….. to magnetic energy density.

Question 25.
For an EM wave propagating along x-axis E_max = 30 Vm^-1, the maximum value of magnetic field is ………………..

Hope the information shared regarding the NCERT MCQ Questions for Class 12 Physics Chapter 8 Electromagnetic Waves with Answers Pdf free download is true and genuine as far as our knowledge is concerned. If you feel any information regarding CBSE Class 12 Physics Electromagnetic Waves MCQs Multiple Choice Questions with Answers is missing do reach us and we will look into it and add it accordingly.

Students are advised to practice the NCERT MCQ Questions for Class 12 Physics Chapter 9 Ray Optics and Optical Instruments with Answers Pdf free download is available here. MCQ Questions for Class 12 Physics with Answers are prepared as per the Latest Exam Pattern. Students can solve these Ray Optics and Optical Instruments Class 12 MCQs Questions with Answers and assess their preparation level.

Ray Optics and Optical Instruments Class 12 MCQs Questions with Answers

Solving the Ray Optics and Optical Instruments Multiple Choice Questions of Class 12 Physics Chapter 9 MCQ can be of extreme help as you will be aware of all the concepts. These MCQ Questions on Ray Optics and Optical Instruments Class 12 with answers pave for a quick revision of the Chapter thereby helping you to enhance subject knowledge. Have a glance at the MCQ of Chapter 9 Physics Class 12 and cross-check your answers during preparation.

I. Choose the correct answer

Question 1.
Ashort pulse of white light is incident from air to a glass slab atnormal incidence. After travelling through the slab, the first colour to emerge is
(a) blue.
(b) green.
(c) violet.
(d) red.

Question 2.
You are given four sources of light each one providing a light of a single colour – red, blue, green and yellow. Suppose the angle of refraction for a beam of yellow light corresponding to a particular angle of incidence at the interface of two media is 90°. Which of the following statements is correct if the source of yellow light is replaced with that of other lights without changing the angle of incidence?
(a) The beam of red light would undergo total internal reflection.
(b) The beam of red light would bend towards normal while it gets refracted through the second medium.
(c) The beam of blue light would undergo total internal reflection.
(d) The beam of green light would bend away from the normal as it gets refracted through the second medium.

Question 3.
The optical density of turpentine is higher than that of water while its mass density is lower. Figure shows a layer of turpentine floating over water in a container. For which one of the four rays incident on turpentine in figure, the path shown is correct?

(a) 1.
(b) 2
(c) 3
(d) 4

Question 4.
There are certain material developed in laboratories which have a negative refractive index (figure). A ray incident from air (medium 1) into such a medium (medium 2) shall follow a path given by

Question 5.
Consider an extended object immersed in water contained in a plane trough. When seen from close to the edge of the trough the object will not look distorted because
(a) the apparent depth of the points close to the edge are nearer the surface of the water compared to the points away from the edge.
(b) the angle subtended by the image of the object at the eye is smaller than the actual angle subtended by the object in air.
(c) some of the points of the object far away from the edge may not be visible because of total internal reflection.
(d) water in a trough acts as a lens and magnifies the object.

Question 6.
A rectangular block of glass ABCD has a refractive index 1.6. A pin is placed midway on the face AB (figure). When observed from the face AD, the pin shall

(a) appear to be near A.
(b) appear to be near D.
(c) appear to be at the centre of AD.
(d) not be seen at all.

Question 7.
An astronomical refractive telescope has an objective of focal length 20 m and an eyepiece of focal length 2 cm. Which one of the following is not possible?
(a) The length of the telescope tube is 20.02 m.
(b) The magnification is 1000.
(c) The image formed is inverted.
(d) An objective of a larger aperture will increase the brightness and reduce chromatic aberration of the image.

Question 8.
An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be:
(a) 30 cm away from the mirror
(b) 36 cm away from the mirror
(c) 30 cm towards the mirror
(d) 36 cm towards the mirror

Question 9.
The refractive index of the material of a prism is √2 and the angle of the prism is 30°. One of the two refracting surfaces of the prism is made a mirror inwards, by silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is:
(a) 60°
(b) 45°
(c) 30°
(d) zero

Question 10.
A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15 cm from a converging lens of magnitude of focal length 20 cm. A beam of parallel light falls on the diverging lens. The final image formed is:
(a) real and at a distance of 40 cm from the divergent lens
(b) real and at a distance of 6 cm from the convergent lens
(c) real and at a distance of 40 cm from convergent lens
(d) virtual and at a distance of 40 cm from convergent lens.

II. Fill in the blanks

Question 1.
The bouncing back of light when it strikes a smooth or polished surface is called …………….. of light.

Question 2.
When light is reflected from a polit, surface the angle of incidence is …………… to the angle of reflection.

Question 3.
The image formed by a plane mirror shows …………….. inversion.

Question 4.
A plane drawn perpendicular to the principal axis and passing through the principal focus is called ………………. plane.

Question 5.
The size of the mirror is called its …………………..

Question 6.
The focal length of a spherical mirror is ……………….. its radius of curvature.

Question 7.
…………….. mirror is used as a rear-view mirror in automobiles.

Question 8.
A real image ………………… be focused on a screen.

Question 9.
A virtual image ……………… be focused or e screen.

Question 10.
The mirror formula is ……………….

Question 11.
The magnification produced by a spherical mirror is given by …………….

Question 12.
If m is ………………. the image is erect w.r,t the object.

Question 13.
If m is ……………….. the image is inverted w.r.t. the object.

Question 14.
The basic cause of refraction is change in ………………… of light in going from one medium to another.

Question 15.
……………… of light does not change when a ray of light moves from an optically rarer to an optically denser medium.

Question 16.
An air bubble in a jar of water shines brightly is an example of …………………

Question 17.
For the same angle of incidence, the angles of refraction in three different mediums A, B and C are 15°, 25° and 35° respectively, ……………. medium will the velocity of light be minimum.

Question 18.
Total internal reflection must occur when angle of incidence is more than the …………………

Question 19.
Total internal reflection will occur when ray of light travels from …………… medium to …………….. medium.

Question 20.
Due to refraction, the depth of an optically denser medium appears to be ……………. than its real depth.

Question 21.
Due to refraction of light the sun is seen …………….. minutes before actual sunrise.

Question 22.
A diamond sparkles due to ……………… of light.

Question 23.
A ray of light undergoes …………….. twice on passing through a prism.

Question 24.
One dioptre is …………….. of a lens of focal length ……………… metre.

Question 25.
The deviation through a prism is minimum when angle of incidence is equal to angle of ……………..

Question 26.
In the minimum deviation position, the refracted ray in the prism is ………………. to the base of prism.

Question 27.
In the minimum deviation position of a prism the angle of refraction is equal to ………………. angle of prism.

Question 28.
White light consists of …………….. colours.

Question 29.
The magnification for a concave lens is always ………………..

Question 30.
A convergent lens made of crown glass (refractive index 1.5) has focal length 20cm in air. If it is immersed in a liquid of refractive index 1.60, its focal length will be ……………..

Question 31.
If two thin lenses of power P₁ and P₂ are held in contact then the power of the combination will be ……………..

Question 32.
If thin lenses of focal length f₁, f₂, f₃ are in contact, the effective focal length of their combination is ………………

Question 33.
The total magnification m of the combination of three lenses of magnification m₁, m₂ and m₃ is ………………..

Question 34.
The magnifying power of a simple microscope is ………………. if f is small.

Question 35.
In Cassegrainian telescope, a large aperture …………………. mirror & a small aperture ……………… mirror is used.

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Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers during preparation and score maximum marks in the exam. Students can download the Inverse Trigonometric Functions Class 12 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 12 Maths Chapter 2 Inverse Trigonometric Functions Objective Questions.

Inverse Trigonometric Functions Class 12 MCQs Questions with Answers

Students are advised to solve the Inverse Trigonometric Functions Multiple Choice Questions of Class 12 Maths to know different concepts. Practicing the MCQ Questions on Inverse Trigonometric Functions Class 12 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Inverse Trigonometric Functions Class 12 with answers provided with detailed solutions by looking below.

Question 1.
If sin^-1 x + sin^-1 y = \(\frac { 2π }{3}\), then the value of cos^-1 x + cos^-1 y is
(a) \(\frac { 2π }{3}\)
(b) \(\frac { π }{3}\)
(c) \(\frac { π }{2}\)
(d) π

Question 2.
tan^-1 (√3) – sec^-1(-2) is equal to:
(a) π
(b) –\(\frac { π }{3}\)
(c) \(\frac { π }{3}\)
(d) \(\frac { 2π }{3}\)

Question 3.
cos^-1 (cos \(\frac { 7π }{6}\)) is equal to
(a) \(\frac { 7π }{6}\)
(b) –\(\frac { 5π }{6}\)
(c) \(\frac { π }{3}\)
(d) \(\frac { π }{6}\)

Question 4.
sin(\(\frac { π }{3}\) – sin^-1(-\(\frac { 1 }{2}\))) is equal to
(a) \(\frac { 1 }{2}\)
(b) \(\frac { 1 }{3}\)
(c) \(\frac { 1 }{4}\)
(d) 1

Question 5.
tan^-1 √3 – cot^-1(-√3) is equal to
(a) π
(b) –\(\frac { π }{2}\)
(c) 0
(d) 2√3

Question 6.
sin (tan^-1 x), |x| < 1, is equal to
(a) \(\frac { x }{\sqrt{1-x^2}}\)
(b) \(\frac { 1 }{\sqrt{1-x^2}}\)
(c) \(\frac { x }{\sqrt{1+x^2}}\)
(d) \(\frac { x }{\sqrt{1+x^2}}\)

Question 7.
sin^-1 (1 – x) – 2 sin^-1 x = \(\frac { π }{2}\), then x is equal to
(a) 0, \(\frac { 1 }{2}\)
(b) 1, \(\frac { 1 }{2}\)
(c) 0
(d) \(\frac { 1 }{2}\)

Question 8.
tan^-1 (\(\frac { x }{y}\)) – tan^-1 \(\frac { x-y }{x+y}\) is equal to
(a) \(\frac { π }{2}\)
(b) \(\frac { π }{3}\)
(c) \(\frac { π }{4}\)
(d) –\(\frac { 3π }{4}\)

Question 9.
The value of sin^-1(cos(\(\frac { 43π }{5}\))) is
(a) \(\frac { 3π }{5}\)
(b) \(\frac { -7π }{5}\)
(c) \(\frac { π }{10}\)
(d) –\(\frac { -π }{10}\)

Question 10.
The principal value of the expression
cos^-1 [cos (-680°)] is
(a) \(\frac { 2π }{9}\)
(b) \(\frac { -2π }{9}\)
(c) \(\frac {34π }{9}\)
(d) –\(\frac { π }{9}\)

Question 11.
The value of cot (sin^-1x) is
(a) \(\frac { \sqrt{1+x^2} }{x}\)
(b) \(\frac { x }{\sqrt{1+x^2}}\)
(c) \(\frac {1}{x}\)
(d) \(\frac { \sqrt{1-x^2} }{x}\)

Question 12.
The domain of sin^-1 2x is
(a) [0, 1]
(b) [-1, 1]
(c) [\(\frac {-1}{2}\), \(\frac {1}{2}\)]
(d) [-2, 2]

Question 13.
The greatest and least values of (sin^-1 x)² + (cos^-1x)² are respectively
(a) \(\frac { 5π^2 }{4}\) and \(\frac { π^2 }{8}\)
(b) \(\frac { π }{2}\) and \(\frac { -π }{2}\)
(c) \(\frac { π^2 }{4}\) and \(\frac { -π^2 }{4}\)
(d) –\(\frac { π^2 }{4}\) and 0

Question 14.
If cos^-1 x – cos^-1 — = α, then 4x² – 4xy cos α + y² is equal to:
(a) 4
(b) 2 sin² α
(c) -4 sin² α
(d) 4 sin² α.

Question 15.
If sin^-1 (\(\frac {5}{4}\)) = \(\frac {π}{2}\), then the value of x is
(a) 3
(b) 4
(c) 5
(d) 1

Question 16.
The value of cot (cosec^-1\(\frac {5}{3}\) + tan^-1\(\frac {2}{3}\)) is
(a) \(\frac { 5 }{17}\)
(b) \(\frac { 6 }{17}\)
(c) \(\frac { 3 }{17}\)
(d) \(\frac { 4 }{17}\)

Question 17.
If tan^-1 y = tan^-1 x + tan^-1(\(\frac { 2x }{1-x^2}\)) when |x| < \(\frac { 1 }{√3}\), then the value of y is:
(a) \(\frac { 3x-x^3 }{1-3x^2}\)
(b) \(\frac { 3x+x^3 }{1-3x^2}\)
(c) \(\frac { 3x-x^3 }{1+3x^2}\)
(d) \(\frac { 3x+x^3 }{1+3x^2}\)

Fill in the blanks

Question 1.
Principal value of sin^-1 (-\(\frac {1}{2}\)) is ………………

Question 2.
Principal value of sin^-1 (-\(\frac {1}{√2}\)) is ……………….

Question 3.
Principal value of cos^-1 (\(\frac {-1}{2}\)) is ………………

Question 4.
Principal value of tan^-1 (-√3) is …………………

Question 5.
Principal value of tan^-1 (-1) is ……………..

Question 6.
Principal value of cot^-1 (√3) is ……………….

Question 7.
Principal value of cosec^-1 (-√2) is ……………..

Question 8.
sin^-1 x + cos^-1 x = ………………

Question 9.
tan^-1 x + cot^-1 x = ………………..

Question 10.
sec^-1 x + cosec^-1 x = ……………….

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Class 12 Informatics Practices MCQs Multiple Choice Questions with Answers

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MCQ Questions for Class 12 Informatics Practices with Answers

Unit 1 Data Handling using Pandas and Data Visualisation

• Python Pandas Class 12 MCQ Questions Part 1
• Python Pandas Class 12 MCQ Questions Part 2
• Python Pandas Class 12 MCQ Questions Case Based
• Python Pandas Class 12 Notes
• Plotting Data Using Matplotlib Class 12 MCQ Questions Part 1
• Plotting Data Using Matplotlib Class 12 MCQ Questions Part 2
• Plotting Data Using Matplotlib Class 12 MCQ Questions Case Based
• Plotting Data Using Matplotlib Class 12 Notes

Unit 4 Societal Impacts

• Societal Impacts and Data Protection Class 12 MCQ Questions Part 1
• Societal Impacts and Data Protection Class 12 MCQ Questions Part 2
• Societal Impacts and Data Protection Class 12 MCQ Questions Part 3
• Societal Impacts and Data Protection Class 12 MCQ Questions Case Based
• Societal Impacts and Data Protection Class 12 Notes

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