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UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :

In a triangle

P Q R, P

is the largest angle and

\cos P = \;\frac{1}{3}

. Further the in-circle of the triangle touches the sides

P Q, Q R

and

R P

N, L

and

M

respectively such that the lengths

P N, Q L

and

R M

are

n, n+2, n+4

respectively where

n

is an integer.

[NDA I 2023]

Question : 45 of 120

Marks: +1, -0

What is the value of

n

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