Two equal circles intersect in `P` and `Q` . A straight line through `P` meets the circles in `A` and `B` . Prove that `Q A=Q Bdot`

Two equal circles intersect in P and Q.A straight line through P meets the circles in A and B. Prove that QA=QB

Two circles intersects in points P and Q. A secant passing through P intersects the circles in A and B respectively. Tangents to the circles at A and B intersect at T. Prove that the A,Q,B and T lie on a circle.

Two circles intersect each other at the points P and Q. A straight line passing through P intersects one circle at A the other circle at .A straight line passing through Q intersect the first circle at C and the second circle at D. Prove that AC||BD .

Two circles intersect each other at points A and B. A straight line PAQ cuts the circles at P and Q. If the tangents at P and Q intersect at point T, show that the points P, B, Q and T are concylic.

Two circles intersect each other at P externally. The straight QR touches the circle at two points Q and R. Prove that /_QPR = 1 right angle.

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect one circle at the points A and C and the other circle at B and D. Prove the AC|| BD

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect one circle at the points A and C and the other circle at B and D. Prove the AC|| BD

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect on circle at the points A and C and the other circle at B and D . Prove that AC||BD.

Two circles of equal radii cut each other at P and Q, so that the centre of one lies on the other.A straight line through P cuts the circle again at A and B.Prove that Delta QAB is equilateral triangle.

In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Prove that triangle APR ~ triangle RQB