CBSE Class 10-Mathematics: Questions and Answers Chapter –10 Circles Part 8

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Question 14:

In the given figure, O is the center of the circle with radius 5 cm and AB||CD. If AB = 6 cm, find OP.

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Answer:

From right

Question 15:

Prove that the tangents at the end of a chord of a circle make equal angles with the chord.

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Answer:

In and

And

[Common]

Question 16:

Find the locus of the center of circles which touch a given line at a given point.

Answer:

Let APB be the given line and let a circle with center touch APB at P. Then , let there be another circle with center O’ which touches the line APB at P.

Thus,

Question 17:

In the given figure, find the perimeter of , if .

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Answer:

BC touches the circle at R

Tangents drawn from external point to the circle are equal.

And

Perimeter of

Question 18:

If PA and PB are tangents drawn from external point P such that and , find the length of chord AB.

Answer:

is equilateral triangle