CUET · MATHS · PYQ PAPER 2025
If it is given that at \(x = 1\) the function \(f(x)=x^4-62 x^2+2 a x+8\) attains its maximum value on the interval [0, 2], then the value of a is:
- A 120
- B 60
- C 0
- D -60
Answer & Solution
Correct Answer
(B) 60
Step-by-step Solution
Detailed explanation
\(f'(x) = 4x^3 - 124x + 2a\) \(f'(1) = 4(1)^3 - 124(1) + 2a = 0\) \(4 - 124 + 2a = 0\) \(-120 + 2a = 0\) \(2a = 120\) \(a = 60\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- The value of the determinant \(\begin{vmatrix} 3 & -4 & 5 \\ 1 & 1 & -2 \\ 2 & 3 & 1 \end{vmatrix}\) is:CUET 2023 Medium
- If \(A=\left[\begin{array}{cc}2 & -3 \\ -4 & 7\end{array}\right]\) and \(2 A^{-1}=K I-A\), where \(K\) is a real number and \(I\) is the identity matrix of order 2 , then the value of \(K\) is :CUET 2025 Easy
- The linear inequalities satisfying the shaded feasible region given in the figure are
(A) \(x \geq 0, \quad y \geq 0, \quad 2 x+y \geq 2\)
(B) \(x \geq 0, \quad y \geq 0, \quad 2 x+y \leq 2\)
(C) \(x \geq 0, \quad y \geq 0, \quad 2 x+y \geq 2, \quad x+2 y \leq 8, \quad x-y \leq 1\)
(D) \(x+2 y \geq 8, \quad x-y \geq 1\)
Choose the correct answer from the options given below:CUET 2025 Easy - The function \(f(x)=-\frac{3}{4} x^4-8 x^3-\frac{45}{2} x^2+163\) has a local maxima atCUET 2025 Hard
- Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by pipe B alone to fill the tank is :CUET 2025 Medium
- The probability that a student is not a swimmer is \(\frac{1}{5}\). Then, the probability that out of 5 students, 4 are swimmers isCUET 2023 Hard
More PYQs from CUET
- Deficiency disease caused due to deficiency of Vitamin \(K\) is :CUET 2023 Hard
- The value of \(x\) for which the matrix \(A = \begin{bmatrix} 1 & -2 & 3 \\ 1 & 2 & 1 \\ x & 2 & -3 \end{bmatrix}\) is singular is:CUET 2023 Medium
- Two infinitely long parallel conductors carrying currents \(I_1\) and \(I_2\) are at distance d apart. The force F on length L of one conductor due to the other is :CUET 2024 Medium
- An object is placed at 5 cm in front of a concave mirror with a radius of curvature of 20 cm. The distance of the image from mirror and its nature areCUET 2025 Hard
- The work function for a metal surface is 8.28 eV . The threshold wavelength for this metal surface is :CUET 2023 Medium
- If \(A^{-1}\) exists for the matrix \(A=\left[\begin{array}{ccc}1 & \lambda & -1 \\ -1 & 1 & 0 \\ \lambda & 1 & 1\end{array}\right]\) thenCUET 2025 Easy