Question

The coordinates of point $A$ on x-axis are given as $(a+2,a-2$). Then find the value of $a^2$.

Answer 1

Given:
Coordinates = $(a+2,a-2$) ....(i)
Since, the point $A$ lies on x-axis.
Coordinates of point A = $(x,0)$ ...(ii)
Comparing equation (i) with equation (ii) we get,
$(a-2)$ = $0$
$a$ = $2$
$a^2=2^2$
$a^2=4$.
Therefore, value of $a^2$ is 4.