Class 10 Maths Chapter 10 Circles MCQ

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Class 10 Maths Chapter 10 Circles MCQ


1. Number of tangents drawn at a point of the , circle is/are





ANSWER= A. one Explaination: Reason: There is only one tangent at a point of the circle.

 

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





ANSWER= C. normal Explaination: C. normal

 

3. If the perimeter and the area of a circle are numerically equal, then the radius of the circle is





ANSWER= D. 2 units

 

4. A pendulum swings through on angle of 30∘ and describes an arc 8.8 cm in length. Find the length of pendulum in cm.





ANSWER= A. 16.8

 

5. Radius of the outer circle is 18 cm and the radius of the inner circle is 7 cm. What is the area of the region between the outer and the inner circles?





ANSWER= D. 275 π cm2

 

6. There is a circle of diameter 10 cm. A chord of length 6 cm is drawn inside the circle. What is the distance between the centre and this chord in cm?





ANSWER= C. 4

 

7. The shaded area in the adjoining figure, between the circumferences of two concentric circles is 346.5 cm2. The circumference of the inner circle is 88 cm. Calculate the radius of the outer circle. [Take π=22/7]





ANSWER= C. 17.5cm

 

8. A wire is bent to form a circle of radius 7 cm. From the resulting shape, a chunk of the wire is cut off, and the wire cut off measures 4 cm in length. The length of the remaining wire is





ANSWER= C. 40cm

 

9. The line which intersect the circle at only one point is called as





ANSWER= B. Tangent

 

10. There is ___ tangent at a point of the circle





ANSWER= B. Only one

 

11. The tangent is the special case of the secant when the two end points of its corresponding





ANSWER= A. Chord coincide

 

12. The common point of the tangent and the circle is called as





ANSWER= B. Point of contact

 

13. The tangent __ to the circle at the common point





ANSWER= D. None

 

14. The tangent at any point of a circle is __ to the radius through the point of contact





ANSWER= B. Perpendicular

 

15. A line intersecting circle in two points is called





ANSWER= B. Secant

 

16. There is no tangent to a circle passing through a point





ANSWER= B. Lying inside the circle

 

17. There is one and only one tangent to a circle passing through a point





ANSWER= B. lying on the circle

 

18. There are exactly two tangents to a circle through a point





ANSWER= B. Lying outside the circle

 

19. How many tangents are possible to draw through a point which is lying inside the circle





ANSWER= C. No tangent

 

20. How many tangents are possible to draw to the circle through a point which is on the circle





ANSWER= A. One and only one

 

21. How many tangents are possible to draw to the circle through a point which is lying outside the circle





ANSWER= C. Exactly two tangents

 

22. The lengths of the tangent drawn from an external point to a circle are





ANSWER= B. Equal

 

23. We can draw __ tangents to a circle





ANSWER= C. Infinite

 

24. If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is





ANSWER= B. 6 cm

 

25. From a point P which is at a distance of 13 cm from the point 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





ANSWER= A. 60 cm²

 

26. At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is





ANSWER= D. 8 cm

 

27. If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm the length of each tangent is equal to





ANSWER= D. 3√3 cm

 

28. The length of tangents drawn from an external point to the circle





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

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