Question

The distance of the point $P(x_1,5)$ from the foci of the ellipse $\frac{x^2}{9}+\frac{y^2}{25}=1$ are (where $P$ lies on ellipse)

• A. $2$ unit
• B. $9$ unit
• C. $1$ unit
• D. $7$ unit

Answer 1

Answer: (B), (C)

The correct options are
B $9$ unit
C $1$ unit

Ii's major axis is parallel to $y-$axis
Equation of ellipse
$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$
$\therefore a=3,b=5\Rightarrow e=\frac{4}{5}$
Distance from the foci is
$d=b\pm e{y}_1$
​​​​​​​$\Rightarrow d=5\pm 4=1,9$ unit