A) 4 sq unit
B) 16 sq unit
C) \[-16\]sq unit
D) \[\pm 16\] sq unit
E) none of these
Correct Answer: C
Solution :
The equation of circle is \[{{x}^{2}}+{{y}^{2}}-2x+4y+\frac{k}{4}=0\] \[\therefore \]Radius of circle \[=\sqrt{1-4-\frac{k}{4}}\] Area of circle \[=9\pi \] (given) \[\Rightarrow \] \[\pi \left( 5-\frac{k}{4} \right)=9\pi \] \[\Rightarrow \] \[5-9=\frac{k}{4}\] \[\Rightarrow \] \[k=-16\]You need to login to perform this action.
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