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**Page No. 209**

**Q.1. How many tangents can a circle have?Sol. **A circle can have an infinite number of tangents.

(ii) A line intersecting a circle in two points is called a ...........

(iii) A circle can have .......... parallel tangents at the most.

(iv) The common point of a tangent to a circle and the circle is called ...........

(b) 13 cm

(c) 8.5 cm

**Ans.** (d)**Sol. **

Radius of the circle = 5 cm

► OQ = 12 cm

► ∠OPQ = 90^{0}

[The tangent to a circle is perpendicular to the radius through the point of contact]

► PQ^{2} = OQ^{2} - OP^{2 }[By Pythagoras theorem]

► PQ^{2 }= 12^{2 }- 5^{2 }= 144 - 25 = 199

► PQ = √199 cm

Hence correct option is (d)

**Q.4. 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.****Sol. **A line 'm' is parallel to the given line 'n' and a line 'l' which is secant is parallel to the given line 'n'.

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