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Let ABCD be a square fo side length 1...

Let ABCD be a square fo side length 1. P,Q,R,S be points in the interiors of the sides AD,BC,AB,CD, respectively , such that PQ and RS intersect at right angles .if PQ `=(3sqrt(3))/(4)` then RS equals -

A

`(2) /(sqrt(3) )`

B

`(3sqrt(3))/(4)`

C

`(sqrt(2)+1)/(2)`

D

`4-2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

` Delta PQM ~= Delta RSN`
SO , Rs =-PQ `=(3sqrt(3))/(4)`
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