Question

$TS$ is the perpendicular bisector of $AB$ with coordinates of $A(0,4)$ and $B(p,6)$ and the point $S$ lies on the $x$-axis.If $x-$coordinates of $S$ is an integer then the number of integral values of ${}^{\prime }{p}^{\prime }$ is

• A. $0$
• B. $1$
• C. $2$
• D. $4$

Answer 1

The correct option is C $2$

Since the point S lies on x-axis, point B can have positive and negative values.

Therefore the number of integral values of 'p' is 2