CBSE Class 10-Mathematics: Questions and Answers Chapter –10 Circles Part 21

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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 ABC Touch the Circle

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Answer:

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

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

Find the Length PA

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Answer:

Join . Draw

Let radius of the circle

[ is radius and PT being a tangent]

Also, from right ,

Or