Which of the following correctly gives the distance between two points and in the…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Which of the following correctly gives the distance between two points

P(x_1, y_1)

and

Q(x_2, y_2)

in the Cartesian plane? (a)

\sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}

(b)

\sqrt{\left(\dfrac{x_2 - x_1}{2}\right)^2 + \left(\dfrac{y_2 - y_1}{2}\right)^2}

(c)

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

(d)

\sqrt{(x_2 + x_1)^2 + (y_2 + y_1)^2}