Circle And System Of Circles Question 186

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

[Roorkee 1999]

Options:

A) A pair of straight lines

B) A circle

C) An ellipse

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

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

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

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