# 2nd PUC Mathematics Series 11

PUC Science 2nd Year Mathematics Series-11 quiz

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2nd PUC Mathematics Series 11

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101. f(x) = 3x2 + 6x + 8, x ∈ R

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102. The radius of a cylinder is increasing at the rate of 3 m/s and its height is decreasing at the rate of 4 m/s. The rate of change of volume when the radius is 4 m and height is 6 m, is

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103. A particle is moving along the curve x = at2 + bt + c. If ac = b2, then particle would be moving with uniform

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104. The distance ‘s’ metres covered by a body in t seconds, is given by s = 3t2 – 8t + 5. The body will stop after

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105. The function f(x) = cot-1 x + x increases in the interval

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106. The length of the longest interval, in which the function 3 sin x – 4sin3x is increasing, is

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107. The coordinates of the point on the parabola y2 = 8x which is at minimum distance from the circle x2 + (y + 6)2 = 1 are

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108. The function f(x) = x + 4/x has

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109. Find the height of a cylinder, which is open at the top, having a given surface area, greatest volume and of radius r.

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110. The area of parallelogram whose adjacent sides are i^2j^+3k^ and 2i^+j^4k^ is