Question

If Q(0, 1) is equidistant from P(5, –3) and R(x, 6), then the value of x is .

• A. $\pm 3$
• B. $\pm 4$
• C. $\pm 5$
• D. $\pm 6$

Answer 1

The correct option is B $\pm 4$

It is given that QP = QR
$\Rightarrow {\mathrm{QP}}^2={\mathrm{QR}}^2\Rightarrow {\left(5-0\right)}^2+{\left(-3-1\right)}^2={\left(x-0\right)}^2+{\left(6-1\right)}^2\Rightarrow 25+16=x^2+25\Rightarrow x^2=16\Rightarrow x=\pm 4$