# SEBA Class 10 Mathematics MCQ Chapter 10 Circles

SEBA Class 10 Mathematics MCQ Chapter 10 Circles Question Answer in English Medium, Class 10 General Maths Multiple Choice Question Answer in English to each chapter is provided in the list so that you can easily browse throughout different chapters SEBA Class 10 Mathematics MCQ Chapter 10 Circles Notes and select need one.

## SEBA Class 10 Mathematics MCQ Chapter 10 Circles

Also, you can read the SCERT book online in these sections Solutions by Expert Teachers as per SCERT (CBSE) Book guidelines. These solutions are part of SCERT All Subject Solutions. Here we have given Assam SEBA Class 10 Mathematics MCQ Chapter 10 Circles Solutions for All Subject, You can practice these here.

### Circles

Chapter – 10

1. 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: (a) are equal.

2. A straight line which intersects a circle in two points is called:

(a) Chord.

(c) Tangent.

(d) Secant.

Ans: (d) Secant.

3. The longest chord of a circle is:

(b) Diameter.

(c) Arc.

(d) Secant.

Ans: (b) Diameter.

4. 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: (a) 60 cm².

5. A circle can have parallel tangent(s) at the most:

(a) 2

(b) 0

(c) 1

(d) 5

Ans: (a) 2.

6. Two circle  touch each other externally at C and AB is a common tangent to the circles: the ∠ABC, is equal to:

(a) 60°

(b) 70°

(c) 100°

(d) 90°

Ans: (d) 90°.

7. If two chords of a circle are equal, then their corresponding arcs are:

(a) Equal.

(b) Unequal.

(c) Supplementary.

(d) Complementary.

Ans: (a) Equal.

8. If the circumference of a circle is 31.4 cm, what is the approximate diameter of the circle? (Use π = 3.14):

(a) 10 cm.

(b) 5 cm.

(c) 15 cm.

(d) 20 cm.

Ans: (a) 10 cm.

9. 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  of PQ is –

(a) √110 cm

(b) 13 cm

(c) √119 cm

(d) 8.5 cm

Ans: (c) √119 cm.

10. The number of tangent drawn at a point of the circle is:

(a) 4

(b) 2

(c) 1

(d) 0

Ans: (c) 1.

11. The angle between a tangent and the radius through the point of contact is:

(a) 30°

(b) 45°

(c) 60°

(d) 90°

Ans: (d) 90°.

12. What is the area of a circle with a radius of 7 cm?

(a) 154 cm2

(b) 44 cm2

(c) 49 cm2

(d) 22 cm2

Ans: (a) 154 cm2.

13. A line through point of contact and passing through centre of circle is known as:

(a) tangent.

(b) chord.

(c) normal.

(d) segment.

Ans:(c) normal.

14. A tangent to a circle intersects the circle at _____ point(s).

(a) One.

(b) Two.

(c) Infinite.

(d) No.

15. If radio of two concentric circles are 5 cm and 3 cm respectively, then the length of the chord of the largest circle which touches the smaller circle is:

(a) 12cm

(b) 6 cm

(c) 10cm

(d) 8 cm

Ans: (d) 8 cm.

16. A circle can have parallel tangent(s) at most:

(a) 2

(b) 1

(c) -7

(d) 0

Ans: (b) 1.

17. Tangents from an external point to a circle are:

(a) Not equal

(b) Equal

(c) Parallel

(d) perpendicular

Ans: (b) Equal.

18. 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: (c) 10 cm.

19. The centre of a circle lies in the _____ of the circle.

(a) Interior

(b) Exterior

(c) Circumference

(d) None of these

Ans: (a) Interior.

20. 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: (c) 15 cm.

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