CUET · MATHS · PYQ PAPER 2025
The area (in sq. units) of the region bounded by \(y=2 \sqrt{1-x^2}, x \in[0,1]\) and \(x\)-axis is equal to:
- A \(1\)
- B \(2\)
- C \(\frac{\pi}{2}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(y=2 \sqrt{1-x^2} \implies x^2 + \frac{y^2}{4} = 1\) This is an ellipse with semi-axes \(a=1, b=2\). The region bounded by \(y=2 \sqrt{1-x^2}, x \in[0,1]\) and the x-axis is the first quadrant area of this ellipse. Area…
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 unit vector in the direction of sum of vectors \(\vec{a}=2 \hat{i}-\hat{j}+\hat{k}\) and \(\vec{b}=2 \hat{j}+\hat{k}\) is:CUET 2023 Easy
- The greatest integer function \(f(x)=\lfloor x\rfloor\) is differentiable for all values ofCUET 2025 Easy
- The kinetic energy of an electron in the ground state of a hydrogen atom is K . The values of its potential energy and total energy respectively are :CUET 2024 Hard
- The degree of the differential equation
\(\left[1+\left(\frac{d y}{d x}\right)\right]^3=\left(\frac{d^2 y}{d x^2}\right)^2\) is :CUET 2023 Medium - If \(A=\left(\begin{array}{cc}1 & 0 \\ -1 & 7\end{array}\right), I=\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right)\), and \(A^2=8 A+K I\) the value of \(K\) is :CUET 2023 Easy
- Let \(N\) be set of natural numbers, then the function \(f : N \rightarrow N\), defined by
\(f(n)=\left\{\begin{array}{ll}\frac{n+1}{2} & ,\text { if } n \text { is odd } \\ \frac{n}{2} & , \text { if } n \text { is even }\end{array}\right.\) isCUET 2025 Easy
More PYQs from CUET
- Identify, which is not the recently extinct species?CUET 2025 Hard
- "Match List-l with List-ll
Choose the correct answer from the options given below: "List-l (Terms) List-II (Features) (A). Amniocentesis (I). Maternal mortality rate (B). MMR (II). Surgical method of contraception (C). Periodic abstinence (III). Process to test genetic disorders in foetus (D). Vasectomy (IV). Natural method of contraception CUET 2025 Hard - If \(A\) is a \(3 \times 3\) matrix such that \(|\operatorname{adj} A|=9\) and \(\left|k A^{-1}\right|=9\), then the value of \(k\) are :CUET 2025 Easy
- In a series LCR circuit \( X_L = X_C \). Which of the following is correct?CUET 2025 Hard
- A 10 V battery having \( 3 \text{ } \Omega \) internal resistance is connected with a 200 V battery and a \( 35 \text{ } \Omega \) resistance as shown in the figure. The terminal potential drop at 10 V battery will be:
CUET 2025 Hard - Identify the incorrect statement/s:
(A) Intestinal perforation and death may occur in severe cases of typhoid infection.
(B) Common cold is caused by Rhinoviruses.
(C) Lips and fingernails may turn grey to bluish colour in severe cases of pneumonia.
(D) Pneumonia is caused by Salmonella.
(E) Typhoid fever could be confirmed by Widal test.
Choose the answer from the options given below:CUET 2024 Easy