Question

I. The foci of an ellipse always lies on major axis.
II. The foci of an ellipse always lies on minor axis.

• A. Both I and II are true
• B. Only I is true
• C. Only II is true
• D. Both I and II are false

Answer 1

Answer: (B)

The foci always lie on the major axis. The major axis can be determined by finding the intercepts on the axes of symmetry. That is, major axis is along the X-axis, if the coefficient of $x^2$ has the larger denominator and it is along the $Y$-axis, if the coefficient of $y^2$ has the larger denominator.