Q4 of 17 Page 209

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.


AB and CD are two parallel lines.


AB intersects the circle at exactly two points, P and Q. Therefore, line AB is the secant of this circle.


CD intersects the circle at exactly one point, R, line CD is the tangent to the circle.


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2

Fill in the blanks :

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


(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.

 3

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. 119 cm.

 1

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

A. 7 cm B. 12 cm


C. 15 cm D. 24.5 cm

 2

In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to

A. 60° B. 70°


C. 80° D. 90°