Question

The pole of the line 2x + y + 5 = 0 w.r.t. the ellipse

$\frac{x^{2}}{4} + \frac{y^{2}}{9}$ = 1 is

• A. $\left( \frac{8}{5},\frac{9}{5} \right)$
• B. $\left( - \frac{8}{5},\frac{9}{5} \right)$
• C. $\left( \frac{8}{5}, - \frac{9}{5} \right)$
• D. $\left( \frac{- 8}{5},\frac{- 9}{5} \right)$

Answer 1

Answer: (D)

$\left( \frac{- 8}{5},\frac{- 9}{5} \right)$

Answer 2

The pole of the line lx+my+n = 0 w.r.to $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ is

$\left( \frac{- a^{2}\mathcal{l}}{n},\mspace{6mu}\frac{- b^{2}m}{n} \right)$ =$\left( \frac{- 8}{5},\frac{- 9}{5} \right)$