CAT 2022 Coordinate Geometry Question (Medium)

Question

Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are 1, 1 , 3, 4 and -2, 8 , respectively. Then, the coordinates of the vertex D are

Accepted Answer

To find the coordinates of the vertex D of the parallelogram ABCD, we start with the given coordinates of points A, B, and C A 1, 1 , B 3, 4 , and C -2, 8 . Our goal is to determine the coordinates of point D. Step 1 Understanding the properties of a parallelogram In a parallelogram, opposite sides

CAT 2022

Quantitative

Coordinate Geometry

Medium

Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (-2, 8), respectively. Then, the coordinates of the vertex D are

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