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ConceptTangent to a Circle

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#### Question

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

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Fill in the blanks:

A tangent to a circle intersects it in _______ point (s).

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :

(A) 12 cm.

(B) 13 cm

(C) 8.5 cm

(D) `sqrt119` cm test

Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

Fill in the blanks:

The common point of a tangent to a circle and the circle is called ____

In the figure given below, PQ is a chord of a circle with centre O and PT is a tangent. If ∠QPT = 60°, find ∠PRQ.

#### Reference Material

Solution for concept: Tangent to a Circle. For the course 8th-10th CBSE