The locus of a point that is equidistant from the lines `x+y - 2sqrt2 = 0` and `x + y - sqrt2 = 0` is (a) `x+y-5sqrt2=0` (b) `x+y-3sqrt2=0` (c) `2x+2y-3 sqrt2=0` (d) `2x+2y-5sqrt5=0`

Options

A. `x+y-5sqrt(2)=0`
B. `x+y-3sqrt(2)=0`
C. `2x+2y-3sqrt(2) = 0`
D. `2x+2y-5sqrt(2) = 0`

Answer

C

Explanation

For any point P (x,y) that is equidistant from the given line, we have
`x+y-sqrt(2) = -(x+y-2sqrt(2))`
`"or " 2x+2y-3sqrt(2) =0`