Question

The image of the point $P(3,5)$ with respect to the line $y=x$ is the point $Q$ and the image of $Q$ with respect to the line $y=0$ is the point $R(a,b)$, then $(a,b)$ is equal to

• A. $(5,3)$
• B. $(5,-3)$
• C. $(-5,3)$
• D. $(-5,-3)$

Answer 1

The correct option is B $(5,-3)$

The image of the point $P(3,5)$ w.r.t. the line $y=x$ is $(5,3)$


$\therefore$ Coordinates of $Q$ are $(5,3)$
Taking image w.r.t $y=0$, we get
$R\equiv (5,-3)$