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

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Question 24:

Find the unknown length .

PT is Tangent to a Circle and PAB is a Secant

PT is Tangent to a Circle and PAB is a Secant

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Answer:

PT is tangent to a circle and PAB is a secant.

Question 25:

In the given figure, OD is perpendicular to the chord AB of a circle whose center is O. If BC is a diameter, find .

AB of a Circle Whose Centre is O

AB of a Circle Whose Centre is O

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Answer:

Since BC is a diameter

Also

Question 26:

In the given figure, and are tangents from to the circle with centre O. R is a point on the circle such that ARB is a tangent to the circle prove that .

Tangents from External Point

Tangents from External Point

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Answer:

In the given figure, and are tangents from external point

Question 27:

Prove that the segment joining the points of contact of two parallel tangents, passes through the center.

Given two parallel tangents PQ and RS

Given Two Parallel Tangents PQ and RS

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Answer:

Given two parallel tangents and RS of a circle with centre

Draw line .

i.e.,

Question 28:

In figure, if , , then length of AB is

Illustration 1 for CBSEClass10ndashMathematicsQues …

Illustration 1 for CBSEClass10ndashMathematicsQues …

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Answer: