Answer
Ellipse
Work Step by Step
$\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{49}=1$
It is written as:
$\frac{{{\left( x-0 \right)}^{2}}}{{{\left( 5 \right)}^{2}}}+\frac{{{\left( y-0 \right)}^{2}}}{{{\left( 7 \right)}^{2}}}=1$
Compare the above equation with the standard form of an ellipse, $\frac{{{\left( x-h \right)}^{2}}}{{{a}^{2}}}+\frac{{{\left( y-k \right)}^{2}}}{{{b}^{2}}}=1$.
Thus, it is an ellipse equation.
The graph of the ellipse $\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{49}=1$ is given below:
