## Question

The equation *x*^{2} + 4*xy* + *y*^{2} + 2*x* + 4*y* + 2 = 0 represents

### Solution

A hyperbola

*x*^{2} + 4*xy* + *y*^{2} + 2*x* + 4*y* + 2 = 0

*h* = coeff. Of 2*xy* = 2, a = coeff. of *x*^{2} = 1, *b* = 1

*h*^{2} = (2)^{2} = 4, *ab* = (1) (1), *h*^{2} > *ab* hyperbola.

#### SIMILAR QUESTIONS

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