The equation of the straight line passing through the point `(3,2)` and perpendicular to the line `y=x` is

Options

A. `x-y=5`
B. `x+y=5`
C. `x+y=1`
D. `x-y=1`

Answer

B

Explanation

Since, line passses through the point (3,2)and perpendicular to the line y=x.
`because` slope `(m)=-1` [since, line is perpendicular to the line y =x]
`therefore` Equation of line which passes through (3,2) is
`y-2=-1(x-3)`
`rArr y-2=-x+3`
`rArrx+y=5`