In Figure, `P ,` is any point on the chord `B C` of a circle such that `A B=A Pdot` Prove that `C P=C Qdot`

In Figure, P , is any point on the chord B C of a circle such that A B=A P . Prove that C P=C Q .

In Figure,P, is any point on the chord BC of a circle such that AB=AP. Prove that CP=CQ.

A B and C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C Ddot

In Figure, B C is a tangent to the circle with centre OdotO E bisects A Pdot Prove that A E O ~ A B Cdot

In Figure, A B\ a n d\ C D are two chords of a circle, intersecting each other at P such that A P=C P . Show that A B=C D .

If P is any point on the hyperbola whose axis are equal, prove that S PdotS^(prime)P=C P^2dot

In Figure, O is the centre of a circle and P O BISECTS /_A P D . Prove that A B=C D

In Figure, if tangents PA and P B are drawn to a circle such that /_A P B=30^0 and chord A C is drawn parallel to the tangent P B , then /_A B C= (a) 60^0 (b) 90^0 (c) 30^0 (d) None of these

In figure, P is the mid-point of B C , ,Q is the mid-point of A P , such that B Q produced meets A C at Rdot Prove that 3RA= CA

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D