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The length of the chord of the ellipse \(\frac{x^2}{4}+\frac{y^2}{2}=1\), whose mid-point is \(\left(1, \frac{1}{2}\righ…

Q1

The length of the chord of the ellipse \(\frac{x^2}{4}+\frac{y^2}{2}=1\), whose mid-point is \(\left(1, \frac{1}{2}\right)\), is:

[JEE Main 2025, 23 Jan (Shift 2)]

a

\(\frac{2}{3} \sqrt{15}\)

b

\(\frac{5}{3} \sqrt{15}\)

c

\(\frac{1}{3} \sqrt{15}\)

d

\(\sqrt{15}\)

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