Question

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

Answer 1

`((x+2)^2)/(49)+((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=√(b^2-a^2) \\ c=√(49-25) \\ c=√(24)=2√(6) \\ Therefore: \\ f=(-2\pm2√(6),1) \end{gathered}`

Answer:

B