Question

If 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 equivalent to

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

Answer 1

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

Let $(x_1,y_1)$ be the image of thr point

$P(3,5)$ with respect to the line $y=x.$

Then, $x_1=5,y_1=3.$

$\therefore Q=(5,3).$

Since the image of the point $Q(5,3)$ w.r.t. the line $y=0$ is $(a,b)$.

$\therefore a=5$ and $b=-3.$

$\therefore (a,b)=(5,-3).$