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Solution - Circles Examples and Solutions

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Question

Prove that there is one and only one tangent at any point on the circumference of a circle.

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Similar questions

In Fig. 2, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.
 

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In the given figure, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects PQ at A and RS at B. Prove that ∠AOB = 90º

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Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle, is bisected at the point of contact.

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Prove that the line segment joining the point of contact of two parallel tangents to a circle is a diameter of the circle.

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n Fig. 2, PQ and PR are two tangents to a circle with centre O. If ∠QPR = 46°, then ∠QOR equals:

(A) 67°
(B) 134°
(C) 44°
(D) 46°

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