Circle And System Of Circles Question 207
$ ax^{2}+2y^{2}+2bxy+2x-y+c=0 $ represents a circle through the origin, if $ a = 1 $, $ b = 0 $, and $ c = 0 $
[MP PET 1984]
Options:
A) $ a=0,\ b=0,\ c=2 $
B) $ a=1,\ b=0,\ c=0 $
C) $ a=2,\ b=2,\ c=0 $
D) $ a=2,\ b=0,\ c=0 $
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Answer:
Correct Answer: D
Solution:
See condition for circle and also condition for circle to pass through origin i.e. origin satisfies equation of circle or $ c=0 $ .
BETA
