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P is a point lying on line y = x then ma...

P is a point lying on line y = x then maximum value of `|PA - PB|`, (where`A-=(1, 3), B-=(5, 2)` ) is

A

`sqrt5`

B

`2sqrt2`

C

`sqrt(17)`

D

`(3)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
A and B lie on opposite sides
Let A' be reflection of A in y = x then is maximum value of `PA - PB`
`A'-=(3,1), B-=(5, 2)`
`A'B=sqrt(4+1)=sqrt5)`
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