TS EAMCET · Maths · Area Under Curves
The area (in square units) of the region enclosed between the parabola \(y^2=2 x\) and the line \(y=4 x-1\)
- A \(\frac{9}{32}\)
- B \(\frac{7}{23}\)
- C \(\frac{16}{3}\)
- D \(\frac{15}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{9}{32}\)
Step-by-step Solution
Detailed explanation
Given equation of parabola \(y^2=2 x\) \(\ldots({i})\) and equation of line \(y=4 x-1\) \(\ldots({ii})\) Intersecting points of Eqs. (i) and (ii) \(\operatorname{are}\left(\frac{1}{8}, \frac{-1}{2}\right)\) and \(\left(\frac{1}{2}, 1\right)\) Required area \(A O B\)…
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 general solution of the differential equation \(x^2 y d x-\left(x^3+y^3\right) d y=0\) isTS EAMCET 2018 Easy
- \(\int_0^3\left|x^2-3 x+2\right| d x=\)TS EAMCET 2023 Medium
- Assume that are the roots of For , if are roots of thenTS EAMCET 2019 Hard
- The system of equations \(x+3 y+7=0\), \(3 x+10 y-3 z+18=0\) and \(3 y-9 z+2=0\) hasTS EAMCET 2024 Medium
- Consider the following statements
. Number of ways of placing objects in bins ) such that no bin is empty is . Number of ways of writing a positive integer " ' into a sum of positive integers is . Number of ways of placing ' ' objects in bins such that at least one bin is non-empty is .TS EAMCET 2019 Medium - \(x=\cos ^{-1}\left(\frac{1}{\sqrt{1+t^2}}\right), y=\sin ^{-1}\left(\frac{t}{\sqrt{1+t^2}}\right) \Rightarrow \frac{d y}{d x}\)
is equal toTS EAMCET 2009 Easy
More PYQs from TS EAMCET
- \(\int_{\frac{1}{3}}^3 \frac{1}{x} \sin \left(\frac{1}{x}-x\right) d x=\)TS EAMCET 2019 Easy
- A metallic wire with tension \(T\) and at temperature \(30^{\circ} \mathrm{C}\) vibrates with its fundamental frequency of \(1 \mathrm{kHz}\). The same wire with the same tension but at \(10^{\circ} \mathrm{C}\) temperature vibrates with a fundamental frequency of \(1.001 \mathrm{kHz}\). The coefficient of linear expansion of the wire isTS EAMCET 2002 Hard
- \(2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\hat{i}+2 \hat{j}-3 \hat{k}\) are the position vectors of two points \(A\) and \(B\) respectively and \(C\) divides \(A B\) in the ratio \(3: 2\). If \(3 \hat{i}-\hat{j}+2 \hat{k}\) is the position vector of a point \(D\), then the unit vector in the direction of \(\overrightarrow{C D}\) isTS EAMCET 2024 Medium
- Compound ' A ' on heating with sodalime gives propane. Identify the compound 'A'.TS EAMCET 2024 Medium
- The correct pair of species with (A) the highest bond order and (B) diamagnetic character isTS EAMCET 2022 Medium
- If the sum of bond orders of \(\mathrm{O}_2^{-}\)and \(\mathrm{O}_2^{2-}\) is \(x\), then bond order of \(\mathrm{O}_2^{2+}\) will beTS EAMCET 2025 Medium