CUET · MATHS · PYQ PAPER 2023
The area of the region bounded by the curve \(y^2=4 x\) and the lines \(y=2\) and \(x=0\) is:
- A \(\frac{1}{3}\)
- B \(\frac{2}{3}\)
- C \(\frac{4}{3}\)
- D 1
Answer & Solution
Correct Answer
(B) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
\(A = \int_{0}^{2} \frac{y^2}{4} dy\) \(A = \frac{1}{4} \left[ \frac{y^3}{3} \right]_{0}^{2}\) \(A = \frac{1}{4} \left( \frac{2^3}{3} - \frac{0^3}{3} \right)\) \(A = \frac{1}{4} \left( \frac{8}{3} \right)\) \(A = \frac{2}{3}\)
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
- A random sample of size 16 has 53 as mean. The sum of the squares of the deviations taken from mean is 150 . If the population mean is 56 then the value of \(t\)-test statistic is :CUET 2025 Hard
- The point on the curve \(y=\cos x-1, x \in\left[\frac{\pi}{2}, \frac{3 \pi}{2}\right]\) at which tangent is parallel to the x-axis is:CUET 2023 Hard
- If the objective function Z = px + qy is maximum at (2,-2) and the maximum value is 8, such that p = 3q, then the values of p and q respectively are:CUET 2023 Easy
- If \(e^y(x+1)=1\) and \(\frac{d^2 y}{d x^2}=k\left(\frac{d y}{d x}\right)^2\), then \(k\) is equal toCUET 2025 Easy
- If A and B are square matrices of order n × n, then \((A-B)^2\) is equal to:
(A) \(A^2-A B-B A+B^2\)
(B) \(A^2-2 A B+B^2\)
(C) \(A^2-2 B A+B A\)
(D) \(A^2-B^2\)
(E) \(A^2+2 A B+B^2\)CUET 2023 Medium - The maximum value of \(\sin x+\cos x, x \in R\) is:CUET 2023 Easy
More PYQs from CUET
- In the circuit diagram shown in the figure, the potential difference E is 20 V.
(A) The potential difference across points C and D is \(V_{CD}\).
(B) The potential difference across points B and C is \(V_{BC}\).
(C) The potential difference across points D and E is \(V_{DE}\).
(D) The potential difference across points A and B is \(V_{AB}\).
If the potentials \(V_{AB}, V_{BC}, V_{CD}, V_{DE}\) are arranged in increasing order, then choose the correct answer from the options given below:CUET 2025 Hard - In Young's double slits experiment, if the ratio of the width of the two slits is 25 : 1, what is the ratio of intensity at the maxima and minima in the interference pattern?CUET 2023 Medium
- Match List - I with List - II.
Choose the correct answer from the options given below :List - I List - II (A) Diamagnetic solid (I) \(CrO _2\) (B) Ferromagnetic solid (II) \(Fe _3 O _4\) (C) Antiferromagnetic (III) NaCl (D) Ferrimagnetic solid (IV) MnO CUET 2023 Hard - The area enclosed by the curve \(x=8 \cos t, y=4 \sin t\) between the lines \(x=0\) and \(x=4 \sqrt{3}\) is:CUET 2023 Hard
- Match List I with List II
Choose the correct answer from the options given below:LIST I LIST II A. \(\frac{d}{dx} [x^{-3}(5+3x)]\) I. \(-\frac{2}{(x+1)^2} + \frac{3}{(x-2)^2}\) B. \(\frac{d}{dx} [(x-a)(x-b)]\) II. \(-\frac{15}{x^2} - \frac{6}{x^3}\) C. \(\frac{d}{dx} [\frac{2}{x+1} - \frac{3}{x-2}]\) III. \(-\frac{2}{(x-1)^2}\) D. \(\frac{d}{dx} [\frac{x+1}{x-1}]\) IV. \(2x - a - b\) CUET 2023 Hard - If \(A, B\) are symmetric matrices of the same order, then \(A B-B A\) is a :CUET 2023 Medium