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P lies on the line `y=x and Q` lies on `y= 2x`. The equation for the locus of the mid point of PQ, if `|PQ| = 4`, is `25x^2 - lambda xy + 13y^2 = 4`, then `lambda` equals

A

`25x^(2)+36xy+13y^(2)=4`

B

`25x^(2)-36xy+13y^(2)=4`

C

`25x^(2)-36xy-13y^(2)=4`

D

`25x^(2)+26xy-13y^(2)=4`

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B
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