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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