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Circle and Syst...

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    The value of λ such that the line joining the origin to the points of intersection of the line x + y = 1 and the curve x2 + y2 + x −2y − λ= 2 0 are mutually perpendicular is

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    A point P moves such that the sum of the square of its distances from the sides of a square of side unity is 9. Then the locus of P is

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    A triangle is formed by the lines whose combined equation is given by (x + y – 4)(xy – 2x – y + 2) = 0. The equation of its circumcircle is

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