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9 Question Stem Consider the lines L and L defined by Sol For a fixed...

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Algebra

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9 Question Stem Consider the lines L and L defined by Sol For a fixed constant 2 let C be the locus of a point P such that the product of the distance of P from L and the distance of P from L is 2 The line y 2x 1 meets C at two points R and S where the distance between R and S is 270 Let the perpendicular bisector of RS meet C at two distinct points R and S Let D be the square of the distance between R and S The value of 22 is 9 L x 2 y 1 0 and L x 2 y 1 0 x 2 Locus C x 2 y 1 x 2 y 1 y 1 3 2 2x 2 y 1 372 for intersection with y 2x 1 2x 2x 32 2x 37 taking ve sign

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