JEE & NEETJEE Mathematics JEE Main Maths 100+ MCQ & Answer | Page-07 | JEE & NEET MCQ February 4, 2025 DSN MARATHI 61. Find the maximum profit that a company can make, if the profit function is given by P(x) = 41 + 24x – 18x2. A. 25 B. 43 C. 62 D. 49 Answer Option : D 62. If y = x3 + x2 + x + 1, then y A. has a local minimum B. has a local maximum C. neither has a local minimum nor local maximum D. None of these Answer Option : C 63. Find both the maximum and minimum values respectively of 3x4 – 8x3 + 12x2 – 48x + 1 on the interval [1, 4]. A. -63, 257 B. 257, -40 C. 257, -63 D. 63, -257 Answer Option : C 64. 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. A. 100 B. 120 C. 140 D. 160 Answer Option : B 65. The function f(x) = x5 – 5×4 + 5×3 – 1 has A. one minima and two maxima B. two minima and one maxima C. two minima and two maxima D. one minima and one maxima Answer Option : D 66. The area of a right-angled triangle of the given hypotenuse is maximum when the triangle is A. scalene B. equilateral C. isosceles D. None of these Answer Option : C 67. Find the area of the largest isosceles triangle having perimeter 18 metres. A. 9√3 B. 8√3 C. 4√3 D. 7√3 Answer Option : A 68. 2x3 – 6x + 5 is an increasing function, if A. 0 < x < 1 B. -1 < x < 1 C. x < -1 or x > 1 D. -1 < x < −1/2 Answer Option : C 69. Find the area of the largest isosceles triangle having perimeter 18 metres. A. 9√3 B. 8√3 C. 4√3 D. 7√3 Answer Option : A 70. The equation of the normal to the curves y = sin x at (0, 0) is A. x = 0 B. x + y = 0 C. y = 0 D. x – y = 0 Answer Option : B
61. Find the maximum profit that a company can make, if the profit function is given by P(x) = 41 + 24x – 18x2. A. 25 B. 43 C. 62 D. 49 Answer Option : D
62. If y = x3 + x2 + x + 1, then y A. has a local minimum B. has a local maximum C. neither has a local minimum nor local maximum D. None of these Answer Option : C
63. Find both the maximum and minimum values respectively of 3x4 – 8x3 + 12x2 – 48x + 1 on the interval [1, 4]. A. -63, 257 B. 257, -40 C. 257, -63 D. 63, -257 Answer Option : C
64. 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. A. 100 B. 120 C. 140 D. 160 Answer Option : B
65. The function f(x) = x5 – 5×4 + 5×3 – 1 has A. one minima and two maxima B. two minima and one maxima C. two minima and two maxima D. one minima and one maxima Answer Option : D
66. The area of a right-angled triangle of the given hypotenuse is maximum when the triangle is A. scalene B. equilateral C. isosceles D. None of these Answer Option : C
67. Find the area of the largest isosceles triangle having perimeter 18 metres. A. 9√3 B. 8√3 C. 4√3 D. 7√3 Answer Option : A
68. 2x3 – 6x + 5 is an increasing function, if A. 0 < x < 1 B. -1 < x < 1 C. x < -1 or x > 1 D. -1 < x < −1/2 Answer Option : C
69. Find the area of the largest isosceles triangle having perimeter 18 metres. A. 9√3 B. 8√3 C. 4√3 D. 7√3 Answer Option : A
70. The equation of the normal to the curves y = sin x at (0, 0) is A. x = 0 B. x + y = 0 C. y = 0 D. x – y = 0 Answer Option : B
