2nd PUC Mathematics Series 9 December 3, 2020December 22, 2020wefru PUC Science 2nd Year Mathematics Series-9 quiz 0 Created on December 02, 2020 By wefru 2nd PUC Mathematics Series 9 TEST YOUR KNOWLEDGE OF SCIENCE 1 / 11 81. Find both the maximum and minimum values respectively of 3x4 – 8x3 + 12x2 – 48x + 1 on the interval [1, 4]. 257, -63 0 257, -6 1 2 / 11 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. 120 236 258 147 3 / 11 83. The function f(x) = x5 – 5x4 + 5x3 – 1 has one minima and two maxima two minima and one maxima two minima and two maxima one minima and one maxima 4 / 11 84. The area of a right-angled triangle of the given hypotenuse is maximum when the triangle is scalene equilateral isosceles None of these 5 / 11 85. Find the area of the largest isosceles triangle having perimeter 18 metres. 9√3 9√7 9√8 0 6 / 11 86. 2x3 – 6x + 5 is an increasing function, if 0 < x < 1 -1 < x < 1 x < -1 or x > 1 -1 < x < −12 7 / 11 87. The function f(x) = tan-1 (sin x + cos x) is an increasing function in 10 20 256 None of these 8 / 11 88. The function f(x) = x3 + 6x2 + (9 + 2k)x + 1 is strictly increasing for all x, if k>3/2 k>3/7 k>3/8 0 9 / 11 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 tan t cosec t sin t cos t 10 / 11 90. The equation of the normal to the curves y = sin x at (0, 0) is x = 0 x + y = 0 10 20 11 / 11 91. The tangent to the parabola x2 = 2y at the point (1, 1/2) makes with the x-axis an angle of 45° 0° 78° 10° Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz