# CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 13

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Question 3:

Two tangents TP and TQ are drawn from an external point T with center O as shown in figure. If they are inclined to each other at an angle of, then what is the value of

and TQ are tangents and O is the center of the circle

Question 4:

Two concentric circles are of radii and , find the length of the chord of the larger circle which touches the smaller circle.

is the chord of the larger circle which touches the smaller circle at the point L. Since is tangent at the point L to the smaller circle with centre .

is a chord of the bigger circle and

In

Chord

Length of chord

Question 5:

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that .

AP, AS are tangents from a point A (Outside the circle) to the circle.

Similarly,

Now

Question 6:

PQ is a chord of length of a circle of radius . The tangents at P and Q intersect at point T. Find the length TP.