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

Question

$16{x^2} - 9{y^2} + 32x + 36y - 36 = 0$

$9{x^2} - 16{y^2} + 36x + 32y - 144 = 0$

$16{x^2} - 9{y^2} + 32x + 36y - 144 = 0$

$9{x^2} - 16{y^2} + 36x + 32y - 36 = 0$

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