Answer:
The foci for the following ellipse are incorrect
Step-by-step explanation:
Given equation: [tex]7x^2+8y^2=30[/tex]
Divide whole equation by 30
So, [tex]\frac{x^2}{\frac{30}{7}}+\frac{y^2}{\frac{30}{8}}=1[/tex]
General equation of ellipse: [tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}[/tex]
On comparing[tex]a =\frac{30}{7}[/tex]
[tex]b = \frac{30}{8}\\c^2=a^2-b^2\\c=\sqrt{a^2-b^2}\\c=\sqrt{(\frac{30}{7})^2-(\frac{30}{8})^2}\\c=\frac{15\sqrt{15}}{28}[/tex]
So,the foci for the following ellipse are incorrect
