CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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


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


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



Length of chord

Question 5:

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

Prove That AB + CD = AD + BC


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



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


Join OT.

[tangents from T upon the circle]

And bisects PQ



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