CUET · MATHS · PYQ PAPER 2023
Match List - I with List - II.
| LIST-I ((Function)y) | LIST-II (\((\) Derivative \() \frac{d y}{d x}\)) |
| (A) \(y=\cos \sqrt{x}\) | (I) \(\frac{\sec (\tan \sqrt{x}) \tan (\tan \sqrt{x}) \sec ^2 \sqrt{x}}{2 \sqrt{x}}\) |
| (B) \(y=\sqrt{\sin x}\) | (II) \(-3 x^2 \cos \left(x^3\right) \sin \left(\sin \left(x^3\right)\right)\) |
| (C) \(y=\sec (\tan \sqrt{x})\) | (III) \(\frac{\cos x}{2 \sqrt{\sin x}}\) |
| (D) \(y=\cos \left(\sin \left(x^3\right)\right)\) | (IV) \(-\frac{1}{2 \sqrt{x}} \sin \sqrt{x}\) |
- A \((A)-(I),(B)-(I V),(C)-(I I),(D)-(I I I)\)
- B \((A)-(I V),(B)-(I I I),(C)-(I),(D)-(I I)\)
- C \((A)-(I I I),(B)-(I I),(C)-(I V),(D)-(I)\)
- D \((A)-(I I),(B)-(I),(C)-(I I I),(D)-(I V)\)
Answer & Solution
Correct Answer
(B) \((A)-(I V),(B)-(I I I),(C)-(I),(D)-(I I)\)
Step-by-step Solution
Detailed explanation
(A) \(y=\cos \sqrt{x}\) \(\frac{dy}{dx} = -\sin(\sqrt{x}) \cdot \frac{d}{dx}(\sqrt{x})\) \(\frac{dy}{dx} = -\sin(\sqrt{x}) \cdot \frac{1}{2\sqrt{x}} = -\frac{1}{2\sqrt{x}} \sin \sqrt{x}\) (A) matches (IV). (B) \(y=\sqrt{\sin x}\)…
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 area of the region bounded by \(y=|x-5|, x=0\) and \(x=1\) is :CUET 2023 Easy
- The slope of tangent to the curve \(x=t^2+3 t-8, y=2 t^2-2 t-5\) at the point (2, -1) is:CUET 2023 Hard
- A 95% confidence interval states that the population mean is greater than 152 and less than 160.
If \(\sigma=15\) and \(Z_{0.025}=1.96\), then what sample size was used in the study?CUET 2025 Hard - A cylindrical drum of radius 7 cm and height 2 m is being kept in a vertical position filled with milk. If the milk is leaking at \(14 cm^3 / sec\) from its lower base, then the rate of decrease in the level of milk is: [Take \(\pi=\frac{22}{7}\) ]CUET 2025 Easy
- If \(\theta\) is the angle between the vectors \(2\hat{i} - 2\hat{j} + 4\hat{k}\) and \(3\hat{i} + \hat{j} + 2\hat{k}\), then value of \(\sin \theta\) is:CUET 2023 Easy
- Ajesh purchased a printer ₹ 15,000 . The printer is estimated to have a scrap value of ₹ 3,000 after a span of 6 years. Then the book value of the printer at the end of 3 years will be :-CUET 2025 Easy
More PYQs from CUET
- Salicylaldehyde can be prepared by treating phenol withCUET 2025 Easy
- Match List - I (Common name) with List - II (IUPAC name)
List - I (Common Name) List - II (IUPAC name) (A) Aniline (I) N-Phenylethanamide (B) Acetanilide (II) Benzenamine (C) Sulphanilic acid (III) Prop-2-en-1-amine (D) Allylamine (IV) p-aminobenzene sulphonic acid
Choose the correct answer from the options given below:CUET 2025 Easy - The cost of type 1 rice is Rs. 20 per kg and type 2 rice is Rs. 30 per kg. If both Type 1 and Type 2 are mixed in the ratio \(2: 3\), then the price per kg of the mixed variety isCUET 2025 Easy
- Which of the following came to India as a contaminant with imported wheatCUET 2023 Easy
- An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(3 \times 10^5 \text{ N/C}\). It experiences a torque equal to \(6 \text{ N m}\). If the dipole length is 2 cm, the value of charge will beCUET 2025 Medium
- Which of the following are correct with reference to rDNA technology?
(A) Exo-nuclease removes nucleotides from the ends of DNA
(B) Replication starts at ori
(C) High velocity microparticle of gold, coated with DNA, are used to transfer DNA in a method known as gene gun
(D) Endo-nuclease makes cut at specific positions within DNA
Choose the correct answer from the options given below:CUET 2025 Medium