CUET · MATHS · PYQ PAPER 2023
The interval in which \(f(x)=2 x^3-9 x^2+12 x+1\) is decreasing is:
- A \(R\)
- B \([1,2]\)
- C \([2,3]\)
- D \([3,4]\)
Answer & Solution
Correct Answer
(B) \([1,2]\)
Step-by-step Solution
Detailed explanation
\(f'(x) = 6x^2 - 18x + 12\) \(6x^2 - 18x + 12 \(x^2 - 3x + 2 \((x-1)(x-2) \(1 The interval is \([1,2]\)
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
- Let \(X\) denote the number of hours a student studies on a selected day. The probability distribution of \(X\) is given by (where \(k\) is some unknown constant)
\(P\left(X=x_i\right)=\left\{\begin{array}{ll}0.5, & \text { if } x_i=0 \\k x_i, & \text { if } x_i=1 \\k\left(4-x_i\right), & \text { if } x_i=2 \text { or } 3 \\0, & \text { otherwise }\end{array}\right.\)
Then the value of \(k\) isCUET 2025 Hard - Let \(A\) be a square matrix of order 3 then \(|3 A|\) is equal toCUET 2023 Hard
-
Choose the correct answer from the options given below :List-1 List-2 (A) \(y=\sqrt{x^3}\) (I) \(-1\) (B) \(y=\sqrt{x}\) (II) 1 (C) \(y=x^3-47 x\) (III) 1/4 (D) \(x y=16\) (IV) 3 CUET 2025 Medium - Order of the differential equation \(\frac{d}{d x}\left(\frac{d y}{d x}\right)^5=0\) is:CUET 2023 Easy
- Match List-l with List-ll
Choose the correct answer from the options given below:List-I List-II (A) The measurable characteristic of a population is called (I) sample (B) The measurable characteristics of a sample is called (II) Alternative hypothesis (C) A smaller group of a population selected to represent a population is caller (III) Parameter (D) The assumption made opposite to the null hypothesis is called (IV) statistic CUET 2025 Easy - If \(\sin y=x \cos (a+y)\), then \(\frac{d y}{d x}\) is equal toCUET 2025 Easy
More PYQs from CUET
- Let A, B, C be three events. If the probability of occurring exactly one out of A and B is \(\frac{3}{5}\), exactly one out of B and C is \(\frac{1}{5}\), exactly one out of C and A is \(\frac{3}{5}\), and that of occurring of three events is \(\frac{4}{25}\), then the probability of occurring at least one of them isCUET 2025 Hard
- Which of the following statements is/ are correct
(A) For an ideal solution, the enthalpy and volume of mixing of pure components are zero.
(B) The inter-molecular attractive forces between A-A and B-B are greater than those between A-B for an ideal binary solution.
(C) The inter-molecular attractive forces between A-A and B-B are of the same order as those between A-B for an ideal binary solution
(D) For an ideal solution, the enthalpy and volume of mixing of pure components to form the solution are positive.
Choose the correct answer from the options given below:CUET 2025 Hard - Answer the question on basis of passage given below :
Vitamins represent a group of organic compounds which are needed in small amount for the healthy growth and maintenance of our body. These are not synthesized by the body and are supplied in the diet. The deficiency of vitamins can be supplemented with medicines.
Match List - I with List – II.
Choose the correct answer from the options given below :List - I List - II A. Vitamin A I. Green leafy vegetables, spinach, cabbage. B. Vitamin B12 II. Fish liver oil, carrots, butter and milk. C. Vitamin C III. Egg and curd. D. Vitamin K IV. Citrus fruits, amla and green leafy vegetables. CUET 2023 Hard - The standard electrode potential for Daniell cell is 1.1 V , calculate the standard Gibb's energy for the reaction:
\(Z n(s)+C u^{2+}(a q) \rightarrow Z n^{2+}(a q)+C u(s)\)
It is found to beCUET 2023 Easy - The structure in the ovary from which corpus luteum formed is known as:CUET 2023 Hard
- A magnetic needle lying parallel to a magnetic field requires \( W \) units of work to turn it through \( 60^\circ \). The torque needed to maintain the needle in its position, will be :CUET 2023 Easy