MCQ Questions | Class 10 Maths Chapter 10 | Circles with Answers

MCQ | Circles Class 10 | Sat A

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 10 Circles with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Circles Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	10
Chapters Name:	Circles
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 10 Circles to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Circles | Class 10 Maths | NCERT Solutions

Q1.	A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is
	A. 5 cm
	B. 9 cm
	C. 15 cm
	D. 23 cm

Ans: 15 cm

Q2.	A circle is inscribed in a ΔABC having AB = 10cm, BC = 12cm and CA = 8cm and touching these sides at D, E, F respectively. The lengths of AD, BE and CF will be
	A. AD = 4cm, BE = 6cm, CF = 8cm
	B. AD = 5cm, BE = 9cm, CF = 4cm
	C. AD = 3cm, BE = 7cm, CF = 5cm
	D. AD = 2cm, BE = 6cm, CF = 7cm

Ans: AD = 3cm, BE = 7cm, CF = 5cm

Q3.	The length of tangents drawn from an external point to the circle
	A. are equal
	B. are not equal
	C. sometimes are equal
	D. are not defined

Ans: are equal

Q4.	The tangents drawn at the extremities of the diameter of a circle are
	A. perpendicular
	B. parallel
	C. equal
	D. none of these

Ans: parallel

Q5.	The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is
	A. 4 cm
	B. 5 cm
	C. 6 cm
	D. 7 cm

Ans: 6 cm

Q6.	At point A on a diameter AB of a circle of radius 10 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY at a distance 16 cm from A is
	A. 8 cm
	B. 10 cm
	C. 16 cm
	D. 18 cm

Ans: 16 cm

Q7.	Segment joining the points of contact of two parallel tangents
	A. may or may not pass through the centre.
	B. will pass through the centre.
	C. will not pass through the centre.
	D. none of these

Ans: will pass through the centre.

Q8.	From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is
	A. 60 cm²
	B. 65 cm²
	C. 30 cm²
	D. 32.5 cm²

Ans: 60 cm²

Q9.	The distance between two parallel tangents of acircle of radius 4 cm is
	A. 2 cm
	B. 4 cm
	C. 6 cm
	D. 8 cm

Ans: 8 cm

Q10.	A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is
	A. 5 cm
	B. 9 cm
	C. 15 cm
	D. 23 cm

Ans: 15 cm

Q11.	The length of tangents drawn from an external point to the circle
	A. are equal
	B. are not equal
	C. sometimes are equal
	D. are not defined

Ans: are equal
Explaination: Reason: Since the length of tangents drawn from an external point to a circle are equal.

Q12.	Number of tangents drawn at a point of the , circle is/are
	A. one
	B. two
	C. none
	D. infinite

Ans: one
Explaination: Reason: There is only one tangent at a point of the circle.

Q13.	The tangents drawn at the extremities of the diameter of a circle are
	A. perpendicular
	B. parallel
	C. equal
	D. none of these

Ans: parallel

Q14.	Tangents from an external point to a circle are
	A. equal
	B. not equal
	C. parallel
	D. perpendicular

Ans: equal

Q15.	If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80° then ∠POA is equal to
	A. 50°
	B. 60°
	C. 70°
	D. 80°

Ans: 50°

Q16.	A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q
	A. √119 cm
	B. 13 cm
	C. 12 cm
	D. 8.5 cm

Ans: √119 cm

Q17.	From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is
	A. 60 cm²
	B. 65 cm²
	C. 30 cm²
	D. 32.5 cm²

Ans: 60 cm²

Q18.	A line through point of contact and passing through centre of circle is known as
	A. tangent
	B. chord
	C. normal
	D. segment

Ans: normal

Q19.	In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the centre of the circle, then the length of OP is:
	A. 30cm
	B. 31cm
	C. 28cm
	D. 25cm

Ans: 25cm

Q20.	Two parallel lines touch the circle at points A and B respectively. If area of the circle is 25 n cm2, then AB is equal to
	A. 5 cm
	B. 8 cm
	C. 10 cm
	D. 25 cm

Ans: 10 cm

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 10

MCQ Questions | Class 10 Maths Chapter 10 | Circles with Answers

MCQ | Circles Class 10 | Sat A

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Circles | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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