Question

The coordinates of the point on the $x-$ axis which is equidistant from the points $(-3,4)$ and $(2,5)$ are :

• A. $(20,0)$
• B. $(-23,0)$
• C. $(\frac{4}{5},0)$
• D. none of these

Answer 1

The correct option is D none of these

Using distance formula, we get because point $(p,0)$ is at equidistant from $(-3,4)$ and $(2,5)$
$\sqrt{(-3-p{)}^2+4^2}=\sqrt{(2-p{)}^2+5^2}$
$p=\frac{2}{5}$
Hence, option 'D' is correct.