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The locus of the centroid of the triangl...

The locus of the centroid of the triangle formed by any point P on the hyperbola `16x^(2)-9y^(2)+32x+36y-164=0` and its foci is :

A

`16x^(2) -9y^(2)+ 32x + 36y- 144= 0`

B

`16x^(2) -9y^(2) + 32x+ 36y- 36= 0`

C

`9x^(2) -16y^(2) + 36x+ 32y- 36= 0`

D

`9x^(2) -16y^(2) + 36x+ 32y- 144=0`

Text Solution

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The correct Answer is:
B
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