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The equation x^(2) - 2xy +y^(2) +3x +2 =...

The equation `x^(2) - 2xy +y^(2) +3x +2 = 0` represents (a) a parabola (b) an ellipse (c) a hyperbola (d) pair of straight line

A

A parabola

B

An ellipse

C

A hyperbola

D

pair of straight line

Text Solution

Verified by Experts

The correct Answer is:
A
`Delta =(1)(1)(2) + 2((3)/(2)) (0) (-1) -(1) (0)^(2) -(1) ((3)/(2))^(2) -2 (-1)^(2)`
`= 2-(9)/(4) -2 ne 0`
And `h^(2) - ab =1 -1 =0`
i.e., `h^(2) = ab`, so it represents a parabola.
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