# Class 10 Math Chapter 10 MCQ Question Answer NCERT Solution

NCERT Class 10th Math Chapter 10 MCQ Question Answer and can take online test here.. CCL Chapter helps you in it..  NCERT Solution for Class 10 Maths Chapter 10 MCQ of Circles NCERT Solution for CBSE, HBSE, RBSE and Up Board and all other chapters of class 10 math.

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NCERT Class 10 Math Chapter 10 Circles MCQ Question Answer with Online test of Objective type Solution.

## Class 10 Math Chapter 10 MCQ Question Answer

1. 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 so that OQ = 12 cm. Length PQ is
(A) 12 cm
(B) 13 cm
(C) 8.5 cm
(D) √119 cm.

Ans. (D) √119 cm.

2. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
(A) 7 cm
(B) 12 cm
(C) 15 cm
(D) 24.5 cm

Ans. (A) 7 cm

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

Ans.(A) 50°

4. The lengths of the two tangents from an external point to a circle are
(A) equal
(B) different
(C) depends on the situation
(D) none of the above

Ans. (A) equal

5. Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Then the ratio of ∠PTQ to ∠OPQ is
(A) 1 : 1
(B) 2 : 1
(C) 4 : 1
(D) 3 : 2

Ans. (B) 2 : 1

6. A line intersecting a circle in two points is called a
(A) tangent
(B) secant
(C) point of contact
(D) none of the above.

Ans. (B) secant

7. The maximum number of parallel tangents to a circle is :
(A) 1
(B) 2
(C) 3
(D) 4

Ans. (B) 2

8. The tangent at any point of a circle makes an angle to the radius through the point of contact :
(A) 45°
(B) 90°
(C) 180°
(D) 60°

Ans. (B) 90°

9. How many tangents are drawn from a point on the circle ?
(A) 1
(B) 2
(C) Infinitely many
(D) None of these

Ans. (A) 1

10. Number of tangents drawn from a point inside the circle is :
(A) 1
(B) 2
(C) 0
(D) None of these

Ans. (C) 0

11. How many tangents can a circle have ?
(A) 1
(B) 2
(C) Infinitely many
(D) 0

Ans. (C) Infinitely many

12. Number of tangents drawn from a point outside the circle are :
(A) 1
(B) 2
(C) 0
(D) 4