P and Q are any two points on the circle...

P and Q are any two points on the circle ` x^(2) + y^(2) = 4 ` such that PQ is a diameter. If `alpha and beta` are the lengths of perpendiculars from P and Q on x + y = 1 then the maximum value of alpha beta is

A

`(1)/(2)`

B

`(7)/(2)`

C

1

D

2

Verified by Experts

The correct Answer is:

B

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