CUET · MATHS · PYQ PAPER 2023
The area lying between the curves \(y^2=4 x\) and \(y=2 x\) is :
- A \(\frac{2}{3}\)
- B 1
- C \(\frac{1}{3}\)
- D \(\frac{1}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
\((2x)^2 = 4x \Rightarrow 4x^2 - 4x = 0 \Rightarrow 4x(x-1) = 0 \Rightarrow x=0, 1\) \(A = \int_{0}^{1} (2\sqrt{x} - 2x) dx\) \(A = \left[ \frac{4}{3}x^{3/2} - x^2 \right]_{0}^{1} = \left( \frac{4}{3}(1)^{3/2} - (1)^2 \right) - (0) = \frac{4}{3} - 1 = \frac{1}{3}\)
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
- If \(a, b, c\) are positive real numbers, then the least value of \((a+b+c)(a b+b c+c a)\) is :CUET 2025 Hard
- Let \(\vec{a}=\hat{i}+4 \hat{j}, \vec{b}=4 \hat{j}+\hat{k}\) and \(\vec{c}=\hat{i}-2 \hat{k}\). If \(\vec{d}\) is a vector perpendicular to both \(\vec{a}\) and \(\vec{b}\) such that \(\vec{c} \cdot \vec{d}=16\), then \(|\vec{d}|\) is equal to:CUET 2025 Medium
- The two events E and F are independent. If \(P(E)=0.3\) and \(P(E \cup F)=0.5\), then \(P(E / F)-P(F / E)\) is :CUET 2023 Medium
- The average cost function for a commodity is given by \(A C=0.05 x^2-5 x+1000+\frac{3000}{x}\) in terms of output \(x\). The fixed cost is :CUET 2025 Medium
- If \(\Delta_1=\left|\begin{array}{lll}x & b & b \\ a & x & b \\ a & a & x\end{array}\right|\) and \(\Delta_2=\left|\begin{array}{ll}x & b \\ a & x\end{array}\right|\) are determinants, then :CUET 2023 Easy
- The function \(f(x)=k x^3+6 k x^2+18 x+17\) is increasing on \(R\) (set of real numbers) if:CUET 2025 Easy
More PYQs from CUET
- The kinetic energy of an \(\alpha\)-particle incident on gold foil is reduced to half of its initial value. How does the distance of closest approach change?CUET 2023 Hard
- \[\int e^x\left(1+x^2\right) d x=\]CUET 2023 Medium
- If \(\left[\begin{array}{cc}2 & 3 \\ 5 & 7\end{array}\right]\left[\begin{array}{cc}1 & -3 \\ -2 & 4\end{array}\right]=\left[\begin{array}{cc}-4 & 6 \\ -9 & x\end{array}\right]\), then the value of \(x\) is:CUET 2023 Hard
- There is a Building which is tilted and equations of two different walls are \(2 x-y+z=4\) and \(x+y+2 z=3\). Angle between the walls is :CUET 2023 Hard
- Match List I with List II
LIST I LIST II A. Parthenocarpic fruits I. Fruit develops from fertilised ovary B. True fruit II. Apple C. Apomixis III. Asteraceae D. False fruit IV. Fruit develops without fertilisation
Choose the correct answer from the options given below:CUET 2023 Easy - \( \alpha, \beta \) and \( \gamma \) rays emitted by a radioactive substance are allowed to pass through a region containing a magnetic field at right angles to their path. The energy gained will beCUET 2025 Hard