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Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = -1. Then f(3) is equal to _________.

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section B
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  10. A man starts walking from the point P( -3, 4), touches the x-axis at R...

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  11. If the line y = mx bisects the area enclosed by the lines x = 0, y = 0...

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  13. If S = (7)/(5) + (9)/(5^(2)) + (13)/(5^(3)) + (19)/(5^(4)) + …., then ...

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  14. A tangent line L is drawn at the point (2, -4) on the parabola y^(2) =...

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  15. Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a l...

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  16. Suppose the line (x-2)/(alpha) = (y-2)/(-5) = (z+2)/(2) lies on the pl...

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  17. If int(sin x)/(sin^(3)x + cos^(3)x) dx = alpha log(e)|1 + tan x| + bet...

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  18. The number of elements in the set {A = ((a, b),(0, d)): a, b, d in {...

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  19. Let B the centre of the circle x^(2) + y^(2) - 2x + 4y + 1 = 0. Let th...

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  20. If the coefficient of a^(7)b^(8) in the expansion of (a + 2b + 4ab)^(1...

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