Question

If AB and CD are two chords of a circle which when produced meet at a point P and if PA=PC,show that AB=CD

Answer 1

Answer:

Step-by-step explanation:

Given: AB and CD are two chords of a circle intersecting at P

AP = CP

To prove : AB = CD

PA PB = PC PD

PB = PD (as PA = PC)

Now, AB = PA - PB = PC - PD = CD

AB = CD