# Solution - Circles Examples and Solutions

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ConceptCircles Examples and Solutions

#### Question

Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through its centre.

#### Solution

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Two circles touch each other externally at P. AB is a common tangent to the circles touching them at A and B. The value of ∠ L APB is

(A) 30°

(B) 45°

(C) 60°

(D) 90°

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Points A(–1, y) and B(5, 7) lie on a circle with centre O(2, –3y). Find the values of y. Hence find the radius of the circle.

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Prove that there is one and only one tangent at any point on the circumference of a circle.

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#### Reference Material

Solution for concept: Circles Examples and Solutions. For the course 8th-10th CBSE
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