CUET · MATHS · PYQ PAPER 2025
The area of the region \(\left\{(x, y): x^2+y^2 \leq 1 \leq x+y\right\}\) is
- A \(\left(\frac{\pi}{2}-1\right)\) sq.unit
- B \(\frac{1}{2}(\pi-1)\) sq.unit
- C \(\frac{1}{2}\left(\frac{\pi}{2}-1\right)\) sq.unit
- D ( \(\pi-1\) ) sq.unit
Answer & Solution
Correct Answer
(C) \(\frac{1}{2}\left(\frac{\pi}{2}-1\right)\) sq.unit
Step-by-step Solution
Detailed explanation
The region is a circular segment of the unit circle \(x^2+y^2 \leq 1\) cut by the line \(x+y=1\). Intersection points of \(x^2+y^2=1\) and \(x+y=1\) are \((0,1)\) and \((1,0)\). The angle subtended by the chord at the origin is \(\theta = \frac{\pi}{2}\). Area of the sector:…
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 the matrix \(\left[\begin{array}{ccc}1 & 3 & 9 \\ 1 & x & x^2 \\ 4 & 6 & 9\end{array}\right]\) is a singular matrix, where \(x \in N\) (the set of natural numbers), then \(x\) is equal toCUET 2025 Hard
- The value of \(\int \tan ^2 x d x\) is :
where \(C\) is the constant of integration.CUET 2023 Medium - The corner points of the feasible region of LPP \(x+y \leq 200, y \geq 4 x, x \geq 20, x \geq 0, y \geq 0\) are :
(A) \((20,180)\)
(B) \((40,180)\)
(C) \((20,80)\)
(D) \((40,80)\)
(E) \((40,160)\)CUET 2023 Hard - If \(A=\left[a_{i j}\right]_{3 \times 2}\), where \(a_{i j}=i+j\), then
(A) A is a square matrix
(B) \(a_{21}+a_{32}=8\)
(C) Number of elements in A is 6
(D) Transpose of \(\mathrm{A}=\left[\begin{array}{ll}2 & 3 \\ 3 & 4 \\ 4 & 5\end{array}\right]\)
Choose the correct answer from the options given below:CUET 2025 Medium - The area of the region bounded by the line \(y = 2 x\) and the \(x\)-axis between \(x = - 2\) and \(x = 2\) isCUET 2025 Hard
- The solution of the differential equation \((x+1) \frac{d y}{d x}+1-2 e^{-y}=0 ; y(0)=0\) isCUET 2025 Easy
More PYQs from CUET
- The unit of conductance is:CUET 2025 Easy
- If \(A=\left[\begin{array}{cc}1 & 0 \\ \frac{1}{25} & 1\end{array}\right]\), then the value of \(A^{125}\) is :CUET 2023 Easy
- Arrange the following steps of the process of recombinant DNA technology in correct order.
(A) Joining of foreign DNA to plasmid
(B) Isolation and cutting of DNA at specific locations
(C) Obtaining the foreign gene product
(D) Insertion of rDNA or ligated DNA into the host cell/organism
Choose the correct answer from the options given below:CUET 2025 Medium - Which of the following factors can influence Hardy-Weinberg equilibrium?
(A) Natural Selection
(B) Genetic recombination
(C) Gene flow
(D) Mutation
Choose the correct answer from the options given below:CUET 2023 Easy - The particular solution of the differential equation \(\frac{d y}{d x}+\frac{3 y}{x}=0, y(1)=1\) isCUET 2025 Hard
- An earthed conductor is placed near another positively charged conductor. The net charge acquired by the earthed conductor will be :CUET 2025 Medium