Question

which of the following expresses the coordinates of the foci of the comic section shown below

Answer 1

$\frac{(x+2)^2}{49}+\frac{(y-1)^2}{25}=1$

This represents an ellipse, the foci can be calculated as follows:

$\begin{gathered} f=(h\pm c,k) \\ where: \\ h=-2 \\ k=1 \\ c=\sqrt{b^2-a^2} \\ c=\sqrt{49-25} \\ c=\sqrt{24}=2\sqrt{6} \\ Therefore: \\ f=(-2\pm2\sqrt{6},1) \end{gathered}$

Answer:

B