If $A (2, - 3)$ and $B (- 2, 1)$ are two vertices of a triangle and third vertex moves on the line $2 x + 3 y = 9$ , then the locus of the centroid of the triangle is:

2 x + 3 y = 3

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2 x - 3 y = 1

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x - y = 1

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2 x + 3 y = 1

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Solution

The correct option is D $2 x + 3 y = 1$
The given point satisfies equation 2x+3y=1.
$∴$ the ans is option D

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Similar questions

A (2, - 3)

B (- 2, 1)

A B C .

2 x + 3 y = 1,

C

A (2, - 3)

B (- 2, 1)

△ A B C .

2 x + 3 y = 1,

C

2 x + 3 y = 1,

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