Question

Step 1

Given that the lines AB and CD intersects at a point P such that

Step 2

Since, there is a theorem that, “A circle always passes through three non-collinear points.”

So, draw the circle through three non-collinear points A, B and C and suppose that point D is not on the circle.

Then two cases are arising,

Case 1: When the point D is outside the circle, then the line CD intersects the circle at D’ as shown in the following diagram,

Step 3

By the diagram AP.PB=CP.PD’

But given that PA.PB=PC.PD

Then supposition t...

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