Question

In the figure, the chords AB and CD when produced-meet at P.PA=4cm,AB=8cm , CD = 2 cm , find PC.​

Answer 1

Answer:

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Answer 2

Answer:

By intersecting secant theorem,

PA×PB = PD×PC

8cm×3cm = PD×(PD+CD)

24cm

2

= PD×(PD+2)

PD

2

+2PD−24=0

On Solving the above quadratic equation, we get

PD

2

+6PD−4PD−24=0

(PD+6)×(PD−4)=0

PD=4cm & −6cm

So, PD=4cm is the real solution