Question

The coordinates of point $A$ on x-axis are given as $(m+6,m-4)$.
The coordinates of $A$ is _____.
(a) $(10,0)$
(b) $(5,4)$
(c) $(10,6)$
(d) $(4,10)$

[1 Mark]

Answer 1

Given:
Coordinates = $(m+6,m-4)$ ....(i)
Since, the point $A$ lies on x-axis.
Coordinates of point A = $(x,0)$ ...(ii)
Comparing equation (i) with equation (ii) we get,
$(m-4)$ = $0$
$m$ = 4
Again, putting the value of $m$ equal to $4$ in $(m+6)$
we get,
$(m+6)$ = $(4+6)$
= $10$
Therefore, coordinates of $A$ are $(10,0)$.

[1 mark]