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Question

Mathematics Question on Triangles

Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line

A

2x + 3y = 9

B

2x - 3y = 7

C

3x + 2y = 5

D

3x - 2y = 3

Answer

2x + 3y = 9

Explanation

Solution

The correct option is (A): 2x + 3y = 9