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

Options

  1. A2 x+3 y=9
  2. B2 x-3 y=7
  3. C3 x+2 y=5
  4. D3 x-2 y=3

Correct answer

A. 2 x+3 y=9

Step-by-step solution

If C be ( h , k ) then centroid is ( h / 3,( k -2) / 3) it lies on 2 x+3 y=1 . locus is 2 x+3 y=9

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