KEAM 2021 Math Solved Paper

Given, centre of the ellipse is (−2,1).
Let equation of ellipse with centre (−2,1) is
‌

(x+2)2

a2

+‌

(y−1)2

b2

=1
Since, (1,1) lies on Eq. (i),
∴‌‌

(3)2

a2

+‌

(0)2

b2

=1
⇒‌a2=9
And also, (−2,−1) lies on Eq. (i),
∴‌‌‌

(0)2

a2

+‌

(−2)2

b2

=1
⇒ b2=4
∴ Required equation of ellipse is
‌

(x+2)2

9

+‌

(y−1)2

4

=1