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Let ABCD be a square with sides of unit ...

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`

Text Solution

Verified by Experts

The correct Answer is:
B
`(1)/(2)y(1)=(1)/(3)(1)`
or `y=(2)/(3)`
`therefore AQ=sqrt((1)^2+(2/(3))^2) =(sqrt13)/(3)`
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