Equation of pair of straight lines drawn through (1, 1) and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0`, is

Options

A. `2x^(2)+7xy-11x+6=0`
B. `2(x-1)^(2)+7(x-1)(y-1)-3y^(2)=0`
C. `2(x-1)^(2)+7(x-1)(y-1)-3(y-1)^(2)=0`
D. none of these

Answer

D

Explanation

The joint equation of pair of straight lines passing through the origin and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0` is `2x^(2)+7xy+3y^(2)=0`. Shifting the origin at (1, 1), we obtain
`2(x-1)^(2)+7(x-1)(y-1)+3(y-1)^(2)=0`
as the joint equation of pair of lines drawn through (1, 1) and perpendicular to the pair of lines `3x^(2)-7xy+2y^(2)=0`.