Question

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

• A. A pair of straight lines
• B. A circle
• C. An ellipse
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Given equation is $2 x ^ { 2 } + 2 y ^ { 2 } + 4 x + 8 y + 15 = 0$

⇒ $( x + 1 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = - \frac { 5 } { 2 }$

which is not possible, as left hand term is a non-negative term.