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  4. The equation of chord of the ellipse 2 x2+y2=2 whose midpoint is ((1/2), 1)

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

Conic Sections

Solution:

$T = S _1 \Rightarrow \frac{ x }{2}+\frac{ y }{2}-1=\frac{1}{4}+\frac{1}{2}-1$
$\Rightarrow \frac{ x }{2}+\frac{ y }{2}=\frac{3}{4} \Rightarrow 2 x +2 y =3$