Vertices and of quadrilateral are opposite ends of one diagonal

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Vertices L(2, −1)L(2,\,-1) and N(6, 9)N(6,\,9) of quadrilateral LMNOLMNO are opposite ends of one diagonal, while M(8, 3)M(8,\,3) is a vertex on the second diagonal. If the diagonals meet at the point P(4, 4)P(4,\,4), which of the following are the coordinates of the remaining vertex OO that will ensure LMNOLMNO is a parallelogram? (a) (7, 6)(7,\,6) (b) (0, 3)(0,\,3) (c) (0, 5)(0,\,5) (d) (0, −5)(0,\,-5)

Related theory

Browse the problem library