KVPY SA Exam 2015 Question Paper

Question : 9 of 80

Marks: +1, -0

Let ABCD be a square of side length l. Let 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 = {3√3}/4

then RS equals

$2/√3$
${3√3}/4$
${√2+1}/2$
$4-2√2$

Validate

Solution:

∆PQM ≅ ∆RSN

So, RS = PQ =

{3√3}/4

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