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

TP and TQ Are Tangents
Answer:
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.

The Length of the Chord
Answer:
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 .

Prove That AB+CD=AD+BC
Answer:
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.

Find the Length TP
Answer:
Join OT.
[tangents from T upon the circle]
And bisects PQ
Now
Now