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Q.
The equation of the straight line passing through the point $(3, 2)$ and perpendicular to the line $y = x$ is
Straight Lines
Solution:
Equation of a line perpendicular to $y = x$ is $x + y + \lambda = 0$. It passes through $\left(3,2\right)$.
$\therefore 3+ 2+\lambda = 0$
$\Rightarrow \lambda =-5$
$\Rightarrow $ Required equation is $x + y - 5 = 0$