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The locus of the centroid of the triangle formed by any point P on the hyperbola 16 x 2 – 9 y 2 + 32 x + 36 y – 164 = 0,…

Q1

The locus of the centroid of the triangle formed by any point P on the hyperbola 16x2 – 9y2 + 32x + 36y – 164 = 0, and its foci is

[JEE Main 2021, 25 Jul (Shift 1)]

a

16x2 – 9y2 + 32x + 36y – 36 = 0

b

9x2 – 16y2 + 36x + 32y – 144 = 0

c

16x2 – 9y2 + 32x + 36y – 144 = 0

d

9x2 – 16y2 + 36x + 32y – 36 = 0

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