RRB Group D 13-Dec-2018 Shift 2 Solved Paper

Question : 25 of 100

Marks: +1, -0

In a triangle ABC, Point X and Point Y are on the Sides AB and AC, respectively such that XY is parallel to BC. Length of XY is 2/5 times the length o f BC. What is the ratio of area of triangle AXY to the area of triangle ABC?

25 : 4
2 : 5
5 : 2
4:25

Validate

Solution:

XY=

2/5

BC
As ΔAXY~ΔABC

⇒{\Area(\AXY)}/{\Area(\ABC)}=({\XY}/{\BC})^2

=({2/5\BC}/{\BC})^2=4/{25}

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