SSC CPO SI and ASI 2016 Paper

Question : 132 of 200

Marks: +1, -0

In a ∆ABC, a straight line parallel to BC intersects the sides AB and AC at P and Q respectively, such that AP : PB = 3 : 2. The ratio of the area of ∆APQ to that of ∆ABC is

4 : 9
25 : 4
9 : 4
9 : 25

Validate

Solution:

(4)

{ { \Area \of } \Δ {\APQ}}/{ { \Area \of } \Δ {\ABC}}= ( { {AP}}/{\ {AB}} )^{2}

= ( {3}/{5} )^{2}= {9}/{25}

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