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What is the equation of the straight lin...

What is the equation of the straight line which is perpendicular to `y=x` and passes through (3, 2) ?

A

`x-y=5`

B

`x+y=5`

C

`x+y=1`

D

`x-y=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Given line, `y=x`
`implies x-y=0`
Slope of this line `=(-1)/(-1)=1`
Slope of line perpendicular to this line `=-1`
The perpendicular line passes through (3, 2)
`:.` Equation is `y-2=-1 (x-3) implies y-2=-x+3`
`implies x+y-5=0 implies x+y=5`
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