Question

The equation of chord of the ellipse $2x^2+y^2=2$ whose midpoint is $\left(\frac{1}{2},1\right)$

• A. $x+y=3/2$
• B. $2x+y=3/2$
• C. $x+2y=5/2$
• D. $x+y=5/2$

Answer 1

Answer: (A)

$T=S_1\Rightarrow \frac{x}{2}+\frac{y}{2}-1=\frac{1}{4}+\frac{1}{2}-1$
$\Rightarrow \frac{x}{2}+\frac{y}{2}=\frac{3}{4}\Rightarrow 2x+2y=3$