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.