Question

The distance between the points P(3, 2) and Q(–4, 5) is

• A. 4
• B. 8
• C. √73
• D. √58

Answer 1

The correct option is D

√58

Given P(3,2), Q(-4,5)
$\because$ Distance between points $(x_1,y_1),(x_2,y_2)is\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$
$\therefore PQ=\sqrt{(-4-3{)}^2+(5-2{)}^2}=\sqrt{49+9}=\sqrt{58}$