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  4. Length of common chord of the parabolas x2=4 y and y2=4 x is

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Q. Length of common chord of the parabolas $x^2=4 y$ and $y^2=4 x$ is

Conic Sections

Solution:

Points of intersection of $x^2=4 y$ and $y^2=4 x$ are $(0,0)$ and $(4,4)$
$\Rightarrow $ Length of common chord $=4 \sqrt{2}$