CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I (Function f(x)) | List-II (Interval) |
| (A) \(f(x)=x|x|\) | (I) Decreases on \((0, \infty)\) |
| (B) \(f(x)=x^2+2 x-5\) | (II) Increases on \((3, \infty)\) |
| (C) \(f(x)=x^2-6 x+9\) | (III) Decreases on \((-\infty,-1)\) |
| (D) \(f(x)=-x^2\) | (IV) Increases on \((-\infty, \infty)\) |
- A (A) - (II), (B) - (III), (C) -(IV), (D) - (I)
- B (A) - (IV), (B) - (III), (C) -(II), (D) - (I)
- C (A) - (II), (B) - (IV), (C) -(III), (D) - (I)
- D (A) (II), (B) - (III), (C) -(I), (D) - (IV)
Answer & Solution
Correct Answer
(B) (A) - (IV), (B) - (III), (C) -(II), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) \(f(x)=x|x|\) \(f(x) = x^2\) for \(x \ge 0\), \(f(x) = -x^2\) for \(x \(f'(x) = 2x\) for \(x \ge 0\), \(f'(x) = -2x\) for \(x \(f'(x) \ge 0\) for all \(x\). Increases on \((-\infty, \infty)\). Match: (IV) (B) \(f(x)=x^2+2x-5\) \(f'(x) = 2x+2\) \(f'(x) (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
- Match List-I with List-II
List-I (Integral) List-II (Value) (A) \(\int_{-1}^1(|x|+1) d x\) (I) 0 (B) \(\int_{-2}^2|x+1| d x\) (II) 2 (C) \(\int_{-1}^1 3|x|^2 d x\) (III) 5 (D) \(\int_{-1}^1 x|x| d x\) (IV) 3
Choose the Correct answer from the options given below :CUET 2025 Easy - The function \(f(x)=x+\cot ^{-1} x\) is increasing in the interval:CUET 2023 Medium
- The probability distribution of a random discrete variable is given
If it is known that \(P(X=1)\) is the mean of \(P(X=0)\) and \(P(X=2)\).Then the value of \(r\) is :X -1 0 1 2 3 P(X) 0.1 p 0.3 q r CUET 2025 Hard - A shopkeeper has 300 Kg millet, a part of which he sells at \(10 \%\) profit. The remaining quantity of millet was of poor quality, and he sold it at a \(5\%\) loss. In the whole transaction, he made a profit of \(7 \%\). The quantity of the millet sold at \(5\%\) loss is :CUET 2025 Hard
- If \(\tan ^{-1}(2 x)+\tan ^{-1}(3 x)=\frac{\pi}{4}\), then the value of \(x\) is:CUET 2023 Hard
- If \(x=a \sin 2 t(1+\cos 2 t)\) and \(y=b \cos 2 t(1-\cos 2 t)\), then \(\left(\frac{d y}{d x}\right)_{x=\frac{\pi}{4}}\) is equal toCUET 2025 Hard
More PYQs from CUET
- A galvanometer having a resistance of \( 8 \, \Omega \) is shunted by a wire of resistance \( 2 \, \Omega \). If the current is 1 A, the part of it passing through the shunt will be:CUET 2023 Medium
- Genetically modified organisms have been useful in many ways. Which one
of the following statements is not correct in the case of GMO plants?CUET 2025 Medium - Which of the following phenomena proves the particle nature of photon ?CUET 2023 Medium
- Identify the final product \((C)\) in the reaction given below:
\(CH _3 CH _2 I + NaCN \rightarrow A \rightarrow\) (Partial hydrolysis \(\left./ OH ^{-}\right) \rightarrow b + NaOH + Br _2 \rightarrow C ?\)CUET 2025 Easy - The shortest distance between the lines \(\vec{r}=(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}+4 \hat{k})\) and \(\vec{r}=(2 \hat{i}+4 \hat{j}+5 \hat{k})+\mu(4 \hat{i}+6 \hat{j}+8 \hat{k})\) is equal toCUET 2025 Hard
- The area (in square units) bounded by the curve \(y=\cos x\) between \(x=0\) and \(x=2 \pi\) in first quadrant is equal to :CUET 2025 Medium