Question

What type of conic section has the equation `4x^2 - y^2 - 16x - 2y+11=0= 0`?

Answer 1

`Ax^2+Bxy+Cy^2+Dx+Ey+F=0`

We need the coefficients `A` and `C` to make a determination.

`A=4`
`C=-1`

`A*C<0`
`4*(-1)<0`

This is a hyperbola .