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

The equation of a line passing through $(p \cos \alpha, p \sin \alpha)$ and making an angle $(90^\circ + \alpha)$ with the positive direction of the $X$-axis is:

If the straight line $ax + by + c = 0$ always passes through $(1, -2),$ then $a, b, c$ are

Find the equation of the line perpendicular to the line $x-7y+5=0$ and having $x$-intercept $3$.

$A$ line passing through the point $P(1, 1)$ and parallel to the line $x - y = 5$ cuts the line $x + 3y - 2 = 0$ at $Q$. Then twice the length of the segment $PQ$ is

The equation of a line passing through $(3, -4)$ and perpendicular to the line $3x + 4y = 5$ is