MCQ Class 10 Circles Set I

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1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. What is the distance between two parallel tangents of a circle of the radius 4 cm?
2. In fig., PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA PB, then the length of each tangent is:
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3. Two tangents drawn from an external point are
4. A circle may have…….
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6. In the given figure, length of BC is:
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7. In fig., if OC = 9 cm and OB = 15 cm, then BC + BD is equal to:
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8. In fig., APB is a tangent to a circle with centre O, at point P. ∠QPB = 50°, then the measure of ∠POQ is:
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9. A tangent to a circle is a line that intersects the circle in
10. If TP and TQ are two tangents to a circle with centre O so that POQ = 110o, then PTQ is
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11. A tangent PA is drawn from an external point P to a circle of radius 3 218016_image004 cm such that the distance of the point P from O is 6 cm as shown figure. The value of ∠APO is
12. In fig., triangle ABC is circumscribing a circle. Then the length of BC is:
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14. From a point A, the length of a tangent to a circle is 8 cm and distance of A from the circle is 10 cm. The length of the diameter of the circle is
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15. In fig., AP = 2 cm, BQ = 3 cm and RC = 4 cm, then the perimeter of ABC (in cm) is
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16. In fig., a circle with centre O is inscribed in a quadrilateral ABCD such that, it touches the sides BC, AB, AD and CD at points P, Q, R and S respectively, If AB = 29 cm, AD = 23 cm, B = 90o and DS = 5 cm, then the radius of the circle (in cm) is:
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17. The angle between the tangent at a point on a circle and the radius at the point of contact is
18. The figure shows two concentric circles with centre O. AB and APQ are tangents to the inner circle from point A lying on the outer circle. If AB = 7.5 cm then AQ is equal to
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19. Quadrilateral ABCD circumscribes a circle as shown in figure. The side of the quadrilateral which is equal to AP + BR is:
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20. In the given figure, if the length of AB is 6 cm, the length of AD is
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21. 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 :
22. In given figure, the length of BC is
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23. 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
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26. The distance between two parallel tangents to a circle of radius 5 cm is
27. Number of tangents, that can be drawn to a circle, parallel to a given chord is
28. In the given figure, PA and PB are tangents drawn from an external point P to a circle. CD is the third tangent touching the circle at Q. If PB=10cm and CQ=2cm, then the length of PC is:
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29. A circle C is inscribed in the quadrilateral ABCD. The quadrilateral ABCD can possibly be a
30. In the given figure, AB and AC are tangents to the circle with centre O such that BAC = 40o. Then, BOC is equal to
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