Question

What will be the equation of directrices of vertical ellipse translated to the point $(3,4)$?

• A. $y=4\pm \frac{b}{e}$
• B. $y=4\pm be$
• C. $y=3\pm \frac{b}{e}$
• D. $y=5\pm \frac{b}{e}$

Answer 1

The correct option is A $y=4\pm \frac{b}{e}$

All the terms are similar to that of a standard ellipse except when it is translated by $(h,k)$, $h$ and $k$ are added to them.

Equation of directrices of standard ellipse: $y=\pm \frac{b}{e}$
Equation of directrices of translated ellipse: $y=4\pm \frac{b}{e}$