CUET · MATHS · PYQ PAPER 2023
The area enclosed between \(y^2=4 x, x=1, x=4\) in first quadrant is :
- A \(28 / 3\) sq. unit
- B \(27 / 2\) sq. unit
- C \(25 / 2\) sq. unit
- D \(27 / 5\) sq. unit
Answer & Solution
Correct Answer
(A) \(28 / 3\) sq. unit
Step-by-step Solution
Detailed explanation
\(A = \int_{1}^{4} 2\sqrt{x} \,dx\) \(A = 2 \left[ \frac{x^{3/2}}{3/2} \right]_{1}^{4}\) \(A = \frac{4}{3} \left[ x^{3/2} \right]_{1}^{4}\) \(A = \frac{4}{3} \left[ (4)^{3/2} - (1)^{3/2} \right]\) \(A = \frac{4}{3} [8 - 1]\) \(A = \frac{28}{3}\) sq. unit
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 slope of the normal to the curve \(x=a \cos ^3 \theta, y=a \sin ^3 \theta\) at \(\theta=\frac{\pi}{4}\) is :CUET 2023 Hard
- If \(f(x)=x^3 e^{-x}\), then the value of \(f^{\prime \prime}(1)\) is equal toCUET 2025 Hard
- The maximum value of \(Z\) for the linear Programming problem maximum \(Z=2 x+y\) subject to the constraints \(x+y \leq 2, \quad x \geq 0, \quad y \geq 0\) is :CUET 2023 Medium
- If \(y=\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right), 0 < x < 1\), then \(\frac{d y}{d x}\) is equal to :CUET 2025 Easy
- The number of all possible matrices of order \(2 \times 2\) with each entry ' \(a\) ', ' \(b\) ' or ' \(c\) ' is :CUET 2023 Medium
- If \(\vec{a}+\lambda \vec{b}\) is perpendicular to \(\vec{c}\), where
\(\vec{a}=-\hat{i}+2 \hat{j}+\hat{k}, \vec{b}=3 \hat{i}+2 \hat{j}+\hat{k}\), and \(\vec{c}=\hat{i}-\hat{j}\),
then :CUET 2023 Medium
More PYQs from CUET
- If \(A\) and \(B\) are square matrices of the same order, then \(A B^T-B A^T\) is aCUET 2023 Hard
- When a primary amine reacts with \(\text{CHCl}_3\) in presence of ethanolic KOH to produce a foul-smelling compound, the reaction is called:CUET 2023 Hard
- Which of the following hormone is/are secreted by corpus luteum?
(A) Progesterone
(B) LH
(C) FSH
(D) EstrogenCUET 2023 Medium - The following reaction is given :
\[CH_3-CH(Br)-CH(Br)-CH_3 \xrightarrow[\Delta]{2 NaNH_2} A\]
Identify \(A\) from the following:CUET 2023 Medium - What does 'r' in equation dN/dt = rN (K-N / K) represent?CUET 2025 Medium
- Alien DNA can be introduced into host cells by which of the following:
(A) Biolistics
(B) Micro-injection
(C) Cold-Shock
(D) Heat-Shock
Choose the correct answer from the options given below:CUET 2023 Medium