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The line 2y=3x+12 cuts the parabola 4y=3...

The line `2y=3x+12` cuts the parabola `4y=3x^(2)`.
If the ellipse `9x^(2)+16y^(2)=144` intersecpts the line `3x+4y=12` then what is the length of the chord so formed ?

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