The centre of the ellipse 4 x^2 + 9 y^2 - 16x - 54y + 61 = 0 is - Vidyadip

MCQ

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

A
$(1,3)$
✓
$(2, 3)$
C
$(3, 2)$
D
$(3, 1)$

✓

Answer

Correct option: B.

$(2, 3)$

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

Hence the centre is $(2, 3).$

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