# 2nd PUC Mathematics Series 9

PUC Science 2nd Year Mathematics Series-9 quiz

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2nd PUC Mathematics Series 9

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81. Find both the maximum and minimum values respectively of 3x4 – 8x3 + 12x2 – 48x + 1 on the interval [1, 4].

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82. It is given that at x = 1, the function x4 – 62x2 + ax + 9 attains its maximum value on the interval [0, 2]. Find the value of a.

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83. The function f(x) = x5 – 5x4 + 5x3 – 1 has

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84. The area of a right-angled triangle of the given hypotenuse is maximum when the triangle is

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85. Find the area of the largest isosceles triangle having perimeter 18 metres.

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86. 2x3 – 6x + 5 is an increasing function, if

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87. The function f(x) = tan-1 (sin x + cos x) is an increasing function in

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88. The function f(x) = x3 + 6x2 + (9 + 2k)x + 1 is strictly increasing for all x, if

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89.The slope of the tangent to the curve x = a sin t, y = a{cot t + log(tan t2)} at the point ‘t’ is

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90. The equation of the normal to the curves y = sin x at (0, 0) is

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91. The tangent to the parabola x2 = 2y at the point (1, 1/2) makes with the x-axis an angle of