Q6 of 93 Page 10

If AB, AC, PQ are tangents in Fig. 10.51 and AB = 5 cm, find the perimeter of .

Given: AB and Ac are tangent to the circle with centre O

PQ is tangent to the circle at X which intersect AB and Ac in P and Q

To find : Perimeter of triangle APQ

Proof:

If from any point on the common chord of two intersecting circles, tangents be drawn to the circles, prove that they are equal.

If the sides of a quadrilateral touch a circle, prove that the sum of a pair of opposite sides is equal to the sum of the other pair.

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.

In Fig. 10.52, PQ is tangent at a point R of the circle with centre O. If , find .