A) \[2\]
B) \[3\]
C) \[1\]
D) \[4\]
Correct Answer: B
Solution :
Given equation of sphere is \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x-2y-4z-19=0\] ?.(i) Its centre \[=(-1,1,2),\] radius \[=\sqrt{1+1+4+19}\] \[=\sqrt{25}=5\] and equation f plane is \[x+2y+2z+7=0\] ?.(ii) Length of the perpendicular from point \[(-1,\,1,\,2)\] to the plane (ii) is \[\left| \frac{-1+2+4+7}{\sqrt{1+4+4}} \right|=\frac{12}{3}=4\] \[\therefore \]Radius of circle \[=\sqrt{{{(5)}^{2}}-{{(4)}^{2}}}=\sqrt{25-16}=3\]You need to login to perform this action.
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