If roots of quadratic equation ${ax}^{2} + 2bx + c = 0$ are not real, then ${ax}^{2} + 2bxy + {cy}^{2} + dx + ey + f = 0$ represents a/an

Question

Dr. Abubacker · Accepted Answer

(a)
Given equation is ${ax}^{2} + 2bx + c = 0$. Since, roots are not real
$	herefore\ b^{2} < ac$
$\Rightarrow {ax}^{2} + 2bxy + {cy}^{2} + dx + ey + f = 0$
Can represent an ellipse

Q. If roots of quadratic equation ${ax}^{2} + 2bx + c = 0$ are not real, then ${ax}^{2} + 2bxy + {cy}^{2} + dx + ey + f = 0$ represents a/an

Explanation

Reviewed by Dr. Abubacker

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