Maths-

General

Easy

Question

# The equation ax^{2} + 2hxy + by^{2} + 2gx + 2fy + c = 0 represents an ellipse if

- = 0, h
^{2} < ab
- ≠ 0, h
^{2} < ab
- ≠ 0, h
^{2} > ab
- ≠ 0, h
^{2} = ab.

^{2}< ab^{2}< ab^{2}> ab^{2}= ab.Hint:

**The general equation of conics of a second degree is given by :**

**and discriminant is given by :**

## The correct answer is: ≠ 0, h^{2} < ab

### The general equation of conics of a second degree is given by :

and discriminant is given by :

When :

Thus, The equation represents an ellipse if .

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