Question

Find the equation of chord of the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$ whose mid point be $(1,1).$

• A. $9y+16x=25$
• B. $9x+16y=25$
• C. $9x+16y=-25$
• D. $-9x-16y=25$

Answer 1

The correct option is B $9x+16y=25$

Equation of chord to the given ellipse with midpoint $(1,1)$ is given by,
$T=S_1\Rightarrow \frac{x\left(1\right)}{16}+\frac{y\left(1\right)}{9}=\frac{1}{16}+\frac{1}{9}$
$\Rightarrow 9x+16y=25$