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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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In Fig. 7, two equal circles, with centres O and O’, touch each other at X. OO’ produced meets the circle with centre O’ at A. AC is tangent to the circle with centre O, at the point C. O’D is perpendicular to AC. Find the value of `(DO')/(CO')`

Fill in the blanks:

A line intersecting a circle in two points is called a __________.

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:

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

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