Question
Question: The centre of an ellipse 4x<sup>2</sup> + 9y<sup>2</sup> – 16x – 54y + 61 = 0 is-...
The centre of an ellipse 4x2 + 9y2 – 16x – 54y + 61 = 0 is-
A
(1, 3)
B
(2, 3)
C
(3, 2)
D
(3, 1)
Answer
(2, 3)
Explanation
Solution
4x2 + 9y2 – 16x – 54y + 61 = 0
Diff. w.r.t. x; y const.
8x – 16 = 0 ̃ x = 2
Diff. w.r.t. y; x const.
18y – 54 = 0 ̃ y = 3
Hence (2, 3)