If and are the endpoints of a diameter of a circle

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

Problem

P(x_1,y_1)

and

Q(x_2,y_2)

are the endpoints of a diameter of a circle, the coordinates of the centre are (a)

\left(\dfrac{x_1-x_2}{2},\,\dfrac{y_1-y_2}{2}\right)

(b)

\left(\dfrac{x_1+x_2}{2},\,\dfrac{y_1+y_2}{2}\right)

(c)

(x_1+x_2,\,y_1+y_2)

(d)

\left(\dfrac{x_1+x_2}{4},\,\dfrac{y_1+y_2}{4}\right)