Question

Plot the point $P(3,4)$ on the graph paper and rotate it through ${90}^o$ in anti-clockwise direction, about the origin. Find the new position of $P$.

• A. $P^{\prime }(-3,4)$
• B. $P^{\prime }(3,-4)$
• C. $P^{\prime }(3,4)$
• D. $P^{\prime }(-3,-4)$

Answer 1

The correct option is A $P^{\prime }(-3,4)$

Point $P$ is lie in $1st$ quadrant .

Now rotate point $P$ through ${90}^o$ in anti-clockwise direction $or$ rotate coordinate axis through ${90}^o$ in clockwise direction.

After rotation , point $P$ will lie in $2nd$ quadrant ,hence coordinate of $P$ will become $(-3,4)$.