A) \[{{x}^{2}}+12y=72\]
B) \[{{x}^{2}}-12y=72\]
C) \[{{y}^{2}}-12x=72\]
D) \[{{y}^{2}}+12x=72\]
Correct Answer: A
Solution :
Here vertex \[\equiv \](0, 6) and focus \[\equiv \] (0, 3) then \[Z\equiv (0,\,9)\] i.e., \[y=9\] \[\therefore \] Equation of parabola, \[SP=PM\] \[\Rightarrow \] \[\sqrt{{{(x-0)}^{2}}+{{(y-3)}^{2}}}=|y-9|\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}-6y+9={{y}^{2}}-18y+81\] or \[{{x}^{2}}+12y=72\].You need to login to perform this action.
You will be redirected in
3 sec