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Sample questions · CBSE Class 10 Mathematics

CBSE · Class 10

Circles — sample questions with answers.

3333 verified circles questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason
Assertion (A): A circle of radius cm has a tangent of length cm from a point cm from the centre.
Reason (R): The distance of that point from the centre is cm.
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A). (B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false. (D) Assertion (A) is false but Reason (R) is true.
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(C)
2 marks Short answer
From an external point P, two tangents PA and PB are drawn to a circle with centre O. If APB , find PAB and OAB.
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PAB , OAB
3 marks Short answer
Two concentric circles are of radii cm and cm. Find the length of the chord of the larger circle which touches the smaller circle.
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cm
5 marks Long answer
A triangle ABC is drawn to circumscribe a circle. The segments BD and DC, into which BC is divided by the point of contact D, are of lengths cm and cm respectively. If the tangent from A to the circle has length cm, find the sides AB and AC, and the perimeter of the triangle.
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AB cm, AC cm; perimeter cm

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 10 Mathematics, board-pattern, with a fresh answer key every time.

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