Conic Sections Question 116

Question: The centre of the ellipse $ 4x^{2}+9y^{2}-16x-54y+61=0 $ is

[MP PET 1992]

Options:

A) (1, 3)

B) (2, 3)

C) (3, 2)

D) (3, 1)

Show Answer

Answer:

Correct Answer: B

Solution:

$ 4{{(x-2)}^{2}}+9{{(y-3)}^{2}}=36 $

Hence the centre is (2, 3).