If OPQR is a rectangle where O is the origin and P(3,0) and R(0,4), then find the coordinates of Q - Maths - Coordinate Geometry

Question

If OPQR is a rectangle where O is the origin and P(3,0) and R(0,4),
then find the coordinates of Q

Anuradha Sharma · Accepted Answer

O0,0, P3,0, R0,4 and let Qx,yWe know that diagonal bisects so, mid point of OQ = x2,y2
mid point of PR=3+02,0+42Now the mid point will be same so, x2,y2=32,42x2=32 ⇒x = 3similarly y = 4 So coordinate of Q3,4

If OPQR is a rectangle where O is the origin and P(3,0) and R(0,4), then find the coordinates of Q.