Question

The equation of the straight line passing through the point

(3, 2) and perpendicular to the line y = x is.

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

Answer 1

Answer: (B)

$x + y = 5$

Answer 2

Let the required equation is $y = - x + c$ which is perpendicular to $y = x$ and passes through (3, 2). So $2 = - 3 + c \Rightarrow c = 5$ . Hence required equation is $x + y = 5$.