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JEE Advance 2008
paper 1
Question
Let a and b be non-zero real numbers. Then, the equation $\left(a x^2+b y^2+c\right)\left(x^2-5 x y+6 y^2\right)=0$ represents
Select the correct option:
A
four straight lines, when $\mathrm{c}=0$ and $\mathrm{a}, \mathrm{b}$ are of the same sign
B
two straight lines and a circle, when $\mathrm{a}=\mathrm{b}$, and c is of sign opposite to that of a
C
two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a
D
a circle and an ellipse, when $a$ and $b$ are of the same sign and $c$ is of sign opposite to that of a
✓ Correct! Well done.
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