A) (1, 1)
B) \[(-1,\text{ }2)\]
C) \[(-1,\text{ }1)\]
D) (2, 2)
E) (1, 2)
Correct Answer: E
Solution :
The given equation of ellipse is \[9{{x}^{2}}+25{{y}^{2}}-18x-100y-116=0\] \[\Rightarrow \]\[9{{x}^{2}}-18x+9+25{{y}^{2}}-100y+100-116\] \[-9-100=0\] \[\Rightarrow \]\[{{(3x-3)}^{2}}+{{(5y-10)}^{2}}=225\] \[\Rightarrow \]\[\frac{9{{(x-1)}^{2}}}{225}+\frac{25{{(y-2)}^{2}}}{225}=1\] \[\therefore \]Centre of ellipse is (1, 2).
You need to login to perform this action.
You will be redirected in
3 sec
