1.

In a triangle ABC, a line XY is drawn parallel to BC meeting AB in X and AC in Y. The area of the triangle AXY is half of the area of the triangle ABC. XY divides AB in the ratio of :

A. $1:\sqrt 2 $$
B. $\sqrt 2 :\left( {\sqrt 2- 1} \right)$$
C. $1:\left( {\sqrt 2- 1} \right)$$
D. $\sqrt 2 :\sqrt 3 $$
Answer» D. $\sqrt 2 :\sqrt 3 $$


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