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A line $y = mx + c$ intersects the parabola $y = x^2$ at points $A$ and $B.$ The line $AB$ intersects the $y$-axis at point $P.$ If $AP - BP = 1,$ then find $m^2.$

 Mar 17, 2020
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m^2 = sqrt(3)/2.

 Mar 17, 2020

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