Two parabolas have the same focus. If their directrices are the x and the y-axis, respectively, then the slope of their common chord is

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±1

None of these

answer is A.

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Detailed Solution

Let the focus be (a, b). The equations are and S1:(x−a)2+(y−b)2=x2 S2:(x−a)2+(y−b)2=y2 Common chord S1−S2=0 gives x2−y2=0 or y=±x

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