NIMCET 2024 Paper

Section: Mathematics

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Question : 38 of 120

Marks: +1, -0

The equation

3 x^2+10 x y+11 y^2+14 x+12 y+5=0

represents:

A circle
An ellipse
A hyperbola
A parabola

Solution:

We see that

h=5, a=3, b=11, g=7, f=6, c=5 a b c+2 f g h-a f^2-b g^2-c h^2 ≠ 0

And

h^2< a b

, hence it is an ellipse.

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