CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I | List-II |
| (A) Maximum value of \(f(x)=\sin ^2 x-\cos ^2 x \forall x \in(\pi, 2 \pi)\) | (I) \(0\) |
| (B) Minimum value of \(f(x)=\sin x \cdot \cos x\) | (II) 1 |
| (C) Point of Minima of \(f(x)=x^x(x>0)\) | (III) \(-\frac{1}{2}\) |
| (D) Maximum value of \(f(x)=-x^{2026}\) | (IV) \(\frac{1}{e}\) |
- A (A) - (III), (B) - (II), (C) - (I), (D) - (IV)
- B (A) - (III), (B) - (II), (C) - (IV), (D) - (I)
- C (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
- D (A) - (II), (B) - (III), (C) - (I), (D) - (IV)
Answer & Solution
Correct Answer
(C) (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) \(f(x) = \sin^2 x - \cos^2 x = -\cos(2x)\) For \(x \in (\pi, 2\pi)\), \(2x \in (2\pi, 4\pi)\). Max \(-\cos(2x)\) is \(1\). (B) \(f(x) = \sin x \cos x = \frac{1}{2}\sin(2x)\) Min \(\frac{1}{2}\sin(2x)\) is \(-\frac{1}{2}\). (C)…
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 \(\int \frac{x^5}{\sqrt{1+x^3}}\)dx isCUET 2025 Medium
- The area of the region bounded by \(y^2=9 x, x=2, x=4\) and the \(x\)-axis in the first quadrant, isCUET 2025 Easy
- In a game of 100 points, A can give B 20 points and C 28 points. How many points can B give C?CUET 2025 Hard
- Two pipes can fill a tank in 6 minutes and 12 minutes respectively, and a third pipe can empty the tank at the rate of 18 liters per minute. If all the pipes working together can fill the empty tank in 5 minutes, the capacity of the tank is:CUET 2025 Hard
- The angle between the two planes \(x+y-z=3\) and \(3 x+2 y+z=5\) is:CUET 2023 Hard
- The rate of change of area of a circle with respect to its circumference when radius is \(4\) cm , is:CUET 2025 Easy
More PYQs from CUET
- The sum of the products of elements of any row with the cofactors of corresponding elements is equal to:CUET 2023 Medium
- If \(M=\left[\begin{array}{c}2 \\ -1 \\ 3\end{array}\right]\) and \(N=\left[\begin{array}{lll}7 & 1 & -4\end{array}\right]\), then \((M N)^T\) will be equal to:CUET 2025 Hard
- Identify the incorrect statement(s) from the following in the context of an electric current flowing through a conductor.
(A) The electrons suffer collisions with heavy fixed ions in the conductor
(B) The resistance of the given conductor depends on its temperature
(C) Resistance and resistivity both depend on the dimensions of the conductor
(D) When a potential difference V is applied across the conductor then V= IR
Choose the correct answer from the options given below:CUET 2025 Medium - Match List I with List II.
Choose the correct answer from the options given below:LIST I LIST II A. Green Revolution I. Corrective therapy of hereditary disease B. Gene therapy II. Increased yield and better management of improved crop varieties C. Genetic Engineering Approval Committee III. Mass production of safe and more effective therapeutics D. Recombinant DNA techonologies IV. Make decision to introduce GM organism for public service CUET 2023 Easy - Match List I with List II
LIST I LIST II A. Photodiode I. junction area is kept much larger and biasing not required B. Light emitting diode II. used to detect intensity of radiation C. Solar cell III. Used as a voltage regulator D. Zener diode IV. emits spontaneous radiation under forward bias
Choose the correct answer from the options given below:CUET 2023 Medium - If the angular velocity of coil in an AC generator is doubled while keeping other parameters constant, the maximum induced emfCUET 2025 Hard