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A(2,-3) and B(-2,1) are the vertices of ...

`A(2,-3)` and `B(-2,1)` are the 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

A

`3 x+2 y=5`

B

`2 x-3 y=7`

C

`2 x+3 y=9`

D

`3 x-2 y=3`

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The correct Answer is:
C
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HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
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  11. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

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  14. Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

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