The equation $x^{2} + y^{2} = 1$ represents

circle

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parabola

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ellipse

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none of these

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Solution

The correct option is A circle
$x^{2} + y^{2} = 1$ represents a circle of center $0, 0)$ and radius $= 1$

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The equation of the bisectors of the angles between the lines represented by $x^{2} + 2 x y c o t θ + y^{2} = 0$ , is

\frac{x^{2}}{1 - k} - \frac{y^{2}}{1 + k} = 1

k < 1

\frac{x^{2}}{12 - k} + \frac{y^{2}}{8 - k} = 1

The equation $\frac{x^{2}}{12 - k} + \frac{y^{2}}{8 - k} = 1$ represents.

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