AP EAMCET · Maths · Area Under Curves
The curve \(y=a x^2+b x\) passes through the point \((1,2)\) and lies above the \(X\)-axis for \(0 \leq x \leq 8\). If the area enclosed by this curve, the \(X\)-axis and the line \(x=6\) is 108 square units, then \(2 b-a=\)
- A 2
- B 0
- C 1
- D -1
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
Given, curve \(y=a x^2+b x\) passes through point \((1,2)\). \[ \therefore \quad 2=a(1)^2+b(1) \]…
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
- Let \(\mathbf{u}=-2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\mathbf{v}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}\). Then angle between \(\mathbf{u}\) and \(\mathbf{v}\) isAP EAMCET 2020 Easy
- For \(x>0\), if \(\int(\log x)^5 d x\) is equal to \(x\left[A(\log x)^5+\right.\) \(\left.B(\log x)^4+C(\log x)^3+D(\log x)^2+E(\log x)+F\right]+\) constant, then \(A+B+C+D+E+F\) is equal toAP EAMCET 2016 Medium
- Observe the statements given below :
Assertion (A) : \(f(x)=x e^{-x}\) has the maximum at \(x=1\)
Reason (R) : \(f^{\prime}(1)=0\) and \(f^{\prime \prime}(1) < 0\)
Which of the following is correct?AP EAMCET 2007 Easy - \(\int \frac{x-1}{(x+1) \sqrt{x\left(x^2+x+1\right)}} d x=\)AP EAMCET 2018 Medium
- For the probability distribution of a discrete random variable X as given below, the mean of X is
AP EAMCET 2024 Medium - If the direction cosines of two lines are such that \(l+m+n=0, l^2+m^2-n^2=0\), then the angle between them is :AP EAMCET 2006 Easy
More PYQs from AP EAMCET
- Two water pipes of diameter \(2 \mathrm{~cm}\) and \(4 \mathrm{~cm}\) are separately connected to a main supply line. The velocity of flow of water in the pipe of \(2 \mathrm{~cm}\) diameter isAP EAMCET 2020 Medium
- Hybridization of positively charged and negatively charged carbons of the following respectively are
AP EAMCET 2023 Easy - Which of the following laws gives the relation between volume and temperature?AP EAMCET 2020 Easy
- \(A\) and \(B\) are two candidates seeking admission in a college. The probability that \(A\) is selected is 0.7 and the probability that exactly one of them is selected is \(\mathbf{0 . 6}\). Find the probability that \(B\) is selected.AP EAMCET 2020 Easy
- Assertion (A) \(\frac{d}{d x}\left(\frac{x^2 \sin x}{\log x}\right)=\frac{x^2 \sin x}{\log x}\) \(\left(\cot x+\frac{2}{x}-\frac{1}{x \log x}\right)\)
\(\operatorname{Reason}(\mathbf{R}) \frac{d}{d x}\left(\frac{u v}{w}\right)=\frac{u v}{w}\left[\frac{u^{\prime}}{u}+\frac{v^{\prime}}{v}+\frac{w^{\prime}}{w}\right]\)AP EAMCET 2022 Easy - Two point sources \(S_1\) and \(S_2\) are \(24 \mathrm{~cm}\) apart. Where should a convex lens of focal length \(9 \mathrm{~cm}\) be placed in between them, so that the images of both sources are formed at the same place?AP EAMCET 2017 Hard