A) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z=0\]
B) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-6y-8z=0\]
C) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=0\]
D) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z-6=0\]
Correct Answer: A
Solution :
The equation of the sphere concentric with the sphere \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z-5=0\]is \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z-c=0\]?(i) Since, this sphere Eq. (i) passes through origin, therefore \[0+0+0-0-0-0+c=0\] \[\Rightarrow \] \[c=0\] Hence, the required equation of sphere is \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z=0\]
You need to login to perform this action.
You will be redirected in
3 sec
