Answer
True statement
Work Step by Step
The standard equation of an ellipse is $\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1$,
Where, a is horizontal radius and b is vertical radius, such that $a>b$.
And the standard equation of a line is $y=mx+c$.
Where m is the slope of a line and c is the intercept on the y-axis.
Suppose $a=2$ and $b=1$ then the equation of an ellipse will be$\frac{{{x}^{2}}}{{{2}^{2}}}+\frac{{{y}^{2}}}{{{1}^{2}}}=1$,
$m=0.5$ and $c=2$ then the equation of a line will be$y=\left( 0.5 \right)x+2$.
The following graph serves as check that there is no intersection between a line and an ellipse.
