CAT 2020 Coordinate Geometry Question (Medium)

Question

The points 2 , 1 and -3 , -4 are opposite vertices of a parellelogram. If the other two vertices lie on the line x 9y c 0, then c is

Accepted Answer

Given Information - The points 2, 1 and -3, -4 are opposite vertices of a parallelogram. - The other two vertices lie on the line x 9y c 0 . Goal Find the value of c . Step-by-Step Solution 1. Understanding the Problem - In a parallelogram, the diagonals bisect each other. - The line x 9y c 0 forms

CAT 2020

Quantitative

Coordinate Geometry

Medium

The points (2 , 1) and (-3 , -4) are opposite vertices of a parellelogram. If the other two vertices lie on the line x + 9y + c = 0, then c is

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