A) \[{{x}^{2}}+{{y}^{2}}\pm 4x\pm 8y=0\]
B) \[{{x}^{2}}+{{y}^{2}}\pm \,\,2x\,\,\pm \,\,4y=0\]
C) \[{{x}^{2}}+{{y}^{2}}\pm 8x\pm 16y=0\]
D) \[{{x}^{2}}+{{y}^{2}}\pm \,x\pm \,y=0\]
Correct Answer: A
Solution :
In \[\Delta OAC,\]\[O{{C}^{2}}={{2}^{2}}+{{4}^{2}}=20\] \[\therefore \]Required equation of circle is \[{{\left( x\pm 2 \right)}^{2}}+{{\left( y\pm 4 \right)}^{2}}=20\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}\pm 4x\pm 8y=0\]You need to login to perform this action.
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