CBSE Class 10-Mathematics: Questions and Answers Chapter – 10 Circles Part 21 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 5:

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact are of lengths 8 cm and 6 cm, respectively. Find the sides AB and AC.

Let the Sides Bc, CA, AB of ABC Touch the Circle


Let the sides BC, CA, AB of touch the in circle at D, E, F, respectively.

Join the center O of the circle with A, B, C, D, E, F

Since tangents to a circle from an external point are equal

Area of

Area of


Area of

But is not possible

Question 6:

In the given figure, PT is tangent, and PAB is a secant. If , . Find the length PA.

Find the Length PA


Join . Draw

Let radius of the circle

[ is radius and PT being a tangent]

Also, from right ,