Question

Let ABCD be a square with sides of unit lenght. Points E and F are taken on sides AB and AD, respectively,so that `AE=AF`. Let P be a point inside the squre ABCD.
Let a line passing through point A divides the sqaure ABD into two parts so that the area of one portion is double the other. then the length of the protion of line inside the square is
A. `sqrt(10)//3`
B. `sqrt(13)//3`
C. `sqrt(11)//3`
D. `2//sqrt3`

Answer 1

Correct Answer - B
`(1)/(2)y(1)=(1)/(3)(1)`
or `y=(2)/(3)`
`therefore AQ=sqrt((1)^2+(2/(3))^2) =(sqrt13)/(3)`