A) \[2:3\] externally
B) \[2:3\] internally
C) \[1:2\] externally
D) None of these
Correct Answer: A
Solution :
Let the ratio is \[\lambda :1\] so the point on sphere is \[\frac{27\lambda +12}{\lambda +1},\frac{-9\lambda -4}{\lambda +1},\frac{18\lambda +8}{\lambda +1}\] Also, \[{{\left( \frac{27\lambda +12}{\lambda +1} \right)}^{2}}+{{\left( \frac{9\lambda +4}{\lambda +1} \right)}^{2}}+{{\left( \frac{18\lambda +8}{\lambda +1} \right)}^{2}}=504\] \ \[\lambda =\frac{-2}{3}\], So that the ratio is 2 : 3 externally.
You need to login to perform this action.
You will be redirected in
3 sec
