Question

The point $(4, - 3)$ with respect to the ellipse $4x^2 + 5y^2 = 1$ is :

• A. lies on the curve
• B. is inside the curve
• C. is outside the curve
• D. is focus of the curve

Answer 1

Answer: (C)

is outside the curve

Answer 2

Equation of ellipse: $4 x^{2}+5 y^{2}=1$
Putting the point $(4,-3)$ on the ellipse we get:
$= 4(4)^{2}+5(-3)^{2}-1$
$= 64+45-1=28 > 0$
$\therefore$ The point lies outside the ellipse.