A) 3
B) \[4\sqrt{6}\]
C) 36
D) 324
Correct Answer: B
Solution :
Given equation of ellipse is \[81{{x}^{2}}+144{{y}^{2}}=1944\] \[\Rightarrow \] \[\frac{{{x}^{2}}}{24}+\frac{{{y}^{2}}}{13.5}=1\] Here, \[{{a}^{2}}=24,\,{{b}^{2}}=13.5\] \[(\because \,a>b)\] We know that, if P is any point on the ellipse. Then \[SP+SP=2a\] \[\Rightarrow \] \[SP+SP=4\sqrt{6}\] \[[\because \,a=2\sqrt{6}]\] Note: If P is any point on the ellipse, then the sum of their distance (SP + SP) is equal to the major axis of the ellipse.You need to login to perform this action.
You will be redirected in
3 sec