What are the coordinates of the foci for this hyperbola?(0,±2√3)open paren 0 comma plus or minus 2 square root of 3 close paren(±3,0)open paren plus or minus 3 comma 0 close paren(±4,0)open paren plus or minus 4 comma 0 close paren(±3√2,0)open paren plus or minus 3 square root of 2 comma 0 close paren

What are the coordinates of the foci for this hyperbola023open paren 0 comma plus or minus 2 square root of 3 close paren30open paren plus or minus 3 comma 0 cl class=

Respuesta :

Given:-

A hyperbola in graph.

To find the value of foci.

So inorder to find the value of foci we use the formula,

[tex]c^2=a^2+b^2[/tex]

So we need to know about the value of a and b first.

The value of a and b can be founded by counting the height and length from the vertex of the parabola to the line.

So we get,

[tex]a=3,b=3[/tex]

So now we substitute the known values in the above formula. so we get,

[tex]\begin{gathered} c^2=3^2+3^2 \\ c^2=9+9 \\ c^2=18 \\ c=\sqrt[]{18} \\ c=3\sqrt[]{2} \end{gathered}[/tex]

So our required foci value is,

[tex](\pm3\sqrt[]{2},0)[/tex]