Question

Find the distance between the points $P(3,2)$ and $Q(-2,-1).$

• A. $PQ=\sqrt{2}$
• B. $PQ=\sqrt{26}$
• C. $PQ=\sqrt{34}$
• D. $PQ=\sqrt{10}$

Answer 1

The correct option is C $PQ=\sqrt{34}$

The distance between points $(x_1,y_1)$ and $(x_2,y_2)$ is given by

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

So, by using distance formula,

$PQ=\sqrt{{(-2-3)}^2+{(-1-2)}^2}=\sqrt{25+9}=\sqrt{34}$