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Properties of Triangle question

2013 · Shift 2 · Q30

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PYQ Library
JEE Advanced
Mathematics
Properties of Triangle
2013 · Shift 2 · Q30

Properties of Triangle question

2013 · Shift 2 · Q30

JEE AdvancedMathematicsProperties of TriangleMultiple correct+4 / −1

In a triangle

PQR

,

P

is the largest angle and

\cos P = {1 \over 3}

. Further the incircle of the triangle touches the sides

PQ

,

QR

and

RP

at

N,L

and

M

respectively, such that the lengths of

PN, QL

and

RM

are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are)

A
$16$
B
$18$
C
$24$
D
$22$

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