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Consider a circle , in which a point P ...

Consider a circle , in which a point P is lying inside the circle such that `(PA)(PB)=(PC)(PD)` ( as shown in figure ) .

On the basis of above information , answer the questions
If `PA=| cos theta + sin theta | and PB=| cos theta - sin theta |`, then maximum value of (PC)(PD) , is equal to

A

(a)1

B

(b)`2sqrt(2)`

C

(c)`sqrt(2)`

D

(d)`2`

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The correct Answer is:
A
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