Question

The coordinates of point $B$ on x-axis are given as $(3m+18,2m-2)$.
Find the coordinates of $B$.

• A. $(21,0)$
• B. $(21,2)$
• C. $(0,21)$
• D. $(21,3)$

Answer 1

The correct option is A $(21,0)$

Given:
Coordinates = $(3m+18,2m-2)$ ....(i)
Since, the point $B$ lies on x-axis.
Coordinates of point $B$ = $(x,0)$ ...(ii)
Comparing equation (i) with equation (ii) we get,
$(2m-2)$ = $0$
$2m$ = $2$
$m$ = $1$
Again, putting the value of $m$ equal to $1$ in $(3m+18)$ we get,
$(3m+18)$ = $\left[3\right(1)+18]$
= $(3+18)$
= $21$
Therefore, coordinates of $B$ are $(21,0)$.