Answer :

Given that we need to find the equation of the ellipse whose centre is (1, - 1) and semi - major axis 8 and passes through (1,3).

From the standard equation .

Centre = (p,q) = (1, - 1)

a = 8

a2 = 64

The equation is . This passes through (1,3).

Substituting in the curve, we get,

b2 = 16

The equation of the ellipse is .

The correct option is B

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