In ( LMN ), point (P ) lies on (LM ) and point (Q ) lies on (LN ) such that (LP = x +…

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

In △LMN\triangle LMN, point PP lies on LMLM and point QQ lies on LNLN such that LP=x+2 cmLP = x + 2\,\text{cm}, PM=6 cmPM = 6\,\text{cm}, LQ=3x cmLQ = 3x\,\text{cm} and QN=9 cmQN = 9\,\text{cm}. For which value of xx will PQ∥MNPQ \parallel MN? (a) 11 (b) 33 (c) 22 (d) 44

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