Previous Year Questions on Evaluation of Area
Previous Year Questions on Evaluation of Area
Evaluation of Area is a significant topic in Mathematics, primarily studied under Integral Calculus. Historically, the techniques of area evaluation have been pivotal in geometry and calculus, with wide applications in science and engineering. The topic’s relevance makes it a frequent subject of Mathematics questions across universities. Mastery of this concept is essential for academic and competitive success.
Vidyasagar University
2023-24 (NEP)
- No Questions
- Find the area of the region bounded by \(x=y^{3} \), the y-axis, \(y=3 \) and \(y=6 \). [2]
- Find the area of the segment of the parabola \(y=x^{2}-7x+9 \) cut off by the line \(y=3-2x\)
- No Questions
- The curves \(y=x^{n},~y^{m}=x~~(m,n\gt 0) \) meet at (0,0) and (1,1). Find the area between these two curves. [2]
- No Questions
- No Questions
- Find the entire area enclosed by the curve \(r=a\cos {2\theta}\)
- What is the formula for finding area of the curve \(y=\psi (t),~x=\phi (t)\), where \(t\) is the parameter? [2]
FAQs
-
What is Evaluation of Area in Mathematics?
It is the process of finding the area under or between curves using methods of Integral Calculus. -
Where is Evaluation of Area applied?
It is applied in geometry, physics, and engineering for various real-world problem-solving tasks. -
What are the basic methods used in Evaluation of Area?
Techniques include definite integration and the application of standard formulas in Mathematics. -
How are area problems tested in universities?
Universities often include problems involving curves and surfaces in Mathematics questions. -
What are the prerequisites for learning Evaluation of Area?
A strong understanding of Differential Calculus and Integral Calculus is essential. -
Can Evaluation of Area be applied to real-life problems?
Yes, it is used to calculate land areas, fluid volumes, and other physical dimensions. -
What is the role of definite integration in this topic?
Definite integration is the core method for computing areas in Integral Calculus. -
Are area evaluation techniques included in competitive exams?
Yes, questions on Evaluation of Area are common in exams involving Mathematics. -
What types of curves are commonly analyzed for area?
Polynomial, trigonometric, and exponential curves are frequently analyzed. -
How can students practice problems on Evaluation of Area?
By exploring Mathematics questions and working on problems from past exams.
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