# 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) Ellipse b) Circle c) Parabola d)Hyperbola and why?

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### 1 Answer

Ans. A Ellipse

because

`ax^2+2bx+c=0` has no real roots.

i.e.

`(2b)^2-4ac<0`

`b^2-ac<0`