If the point $P(4,5)$ is shifted by a distance $2 \sqrt{2}$ units parallel to the line $y=x$, then t

Question

If the point $P(4,5)$ is shifted by a distance $2 \sqrt{2}$ units parallel to the line $y=x$, then the condinates of $P$ in new position is

Professor PC Thomas Classes · Answer

Parametric form of line $x = 4 + r\cos(45^\circ)$, $y = 5 + r\sin(45^\circ)$.