Q. 16

An ellipse has its centre at (1, - 1) and semi - major axis = 8 and it passes through the point (1, 3). The equation of the ellipse is
A.

B.

C.

D.

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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