Latest KVPY Aptitude Question SOLUTION: Suppose two perpendicular tangents can be drawn from the origin to the circle x2 + y2 – 6x –2py + 17 = 0, for some real p. then |p| =

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Previous Question: The maximum value M of 3^x + 5^x – 9^x + 15^x –25^x, as x varies over reals, satisfies – (A) 3 < M < 5 (B) 0 < M < 2 (C) 9 < M < 25 (D) 5 < M < 9 Next Question: Let a, b, c, d be numbers in the set {1, 2, 3, 4, 5, 6} such that the curves y = 2x^3 + ax + b and y = 2x^3 + cx + d have no point in common. The maximum possible value of (a - c)^2 + b d is

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Suppose two perpendicular tangents can be drawn from the origin to the circle x2 + y2 – 6x –2py + 17 = 0, for
some real p. then |p| =: Asked In KVPY MAN (10 years ago); Unsolved Read Solution (1); Is this Puzzle helpful? (2) (2) Submit Your Solution

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Previous Question: The maximum value M of 3^x + 5^x – 9^x + 15^x –25^x, as x varies over reals, satisfies – (A) 3 < M < 5 (B) 0 < M < 2 (C) 9 < M < 25 (D) 5 < M < 9 Next Question: Let a, b, c, d be numbers in the set {1, 2, 3, 4, 5, 6} such that the curves y = 2x^3 + ax + b and y = 2x^3 + cx + d have no point in common. The maximum possible value of (a - c)^2 + b d is

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