Question

The point $(0,3)$ lies ____________ the ellipse $\frac{x^2}{4}+\frac{y^2}{9}=1$

• A. outside
• B. inside
• C. on the periphery
• D. on the auxillary circle

Answer 1

The correct option is C on the periphery

To check the point $(0,3)$ lies inside out side or on the periphery

of the ellipse substitute the point on the ellipse equation.

$\Rightarrow \frac{0^2}{4}+\frac{3^2}{9}-1=0$

Hence the point lies on the periphery

Note: If it was $<0$ then inside

and if it was $>0$ the outside