The equation 2 x 2-2 y 2-4 x -8 y -15-0 representsA- A pair of straight linesB- A circleC- An ellipseD- None of these

The correct option is D None of theseGiven equation is 2x^2 + 2y^2 + 4x + 8y + 15 = 0 ⇒ (x+1)^2 + (y+2)^2 = 5/2 which is not possible, as left hand term is a ...

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Standard VIII

Mathematics

Definition of circle

The equation ...

Question

The equation $2 x^{2} + 2 y^{2} + 4 x + 8 y + 15 = 0$ represents

A pair of straight lines

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A circle

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An ellipse

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None of these

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Solution

The correct option is D None of these
Given equation is $2 x^{2} + 2 y^{2} + 4 x + 8 y + 15 = 0$
$\Rightarrow (x + 1)^{2} + (y + 2)^{2} = - \frac{5}{2}$
which is not possible, as left hand term is a non-negative term.

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The equation 2x2+2y2+4x+8y+15=0 represents

The correct option is D None of theseGiven equation is 2x2+2y2+4x+8y+15=0 ⇒(x+1)2+(y+2)2=−52 which is not possible, as left hand term is a non-negative term.

The equation $2 x^{2} + 2 y^{2} + 4 x + 8 y + 15 = 0$ represents

The correct option is D None of these
Given equation is $2 x^{2} + 2 y^{2} + 4 x + 8 y + 15 = 0$
$\Rightarrow (x + 1)^{2} + (y + 2)^{2} = - \frac{5}{2}$
which is not possible, as left hand term is a non-negative term.