Question:medium

The length of the chord of the ellipse $\frac{x^2}{4} + y^2 = 1$ formed on the line $y = x+1$ is

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To find the length of a chord intercepted by a conic section on a line, solve the two equations simultaneously to find the coordinates of the points of intersection. Then, use the distance formula between these two points.

Updated On: Mar 30, 2026

$2\sqrt{2}$
$4\sqrt{2}/5$
$4\sqrt{2}$
$8\sqrt{2}/5$

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The Correct Option is D

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The length of the chord of the ellipse $\frac{x^2}{4} + y^2 = 1$ formed on the line $y = x+1$ is

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The Correct Option is D

Solution and Explanation

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