AP EAMCET · Maths · Area Under Curves
The area (in sq. units) bounded by the curves \(x^2=9 y\), \((x-6)^2=9 y\) and the \(X\) - axis is
- A 0
- B 1
- C 2
- D 4
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Here we have to the area of shaded region \[ \text { Required Area }=\int_0^3 \frac{x^2}{9} d x+\int_3^6 \frac{(\mathrm{x}-6)^2}{9} d x \] \(=\frac{1}{27}\left[x^3\right]_0^3+\frac{1}{27}\left[(x-6)^3\right]_3^6=2\)
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
- \(\int_{\frac{1}{25}}^3 \frac{e^{\frac{3}{x}}}{x^2} d x=\)AP EAMCET 2023 Easy
- If and then is equal toAP EAMCET 2021 Medium
- In a triangle ABC, if \(\sin \frac{\mathrm{A}}{2}=\frac{1}{4} \sqrt{\frac{3}{5}}, \mathrm{a}=2, \mathrm{c}=5\) and b is an integer, then the area (in sq. units) of triangle ABC isAP EAMCET 2025 Medium
- In a \(\triangle A B C, a: b: c=4: 5: 6\). The ratio of radius of the circumcircle to that of the incircle isAP EAMCET 2022 Easy
- The equation of the locus of \(z\) such that \(\left|\frac{z-i}{z+i}\right|=2\), where \(z=x+i y\) is a complex number, isAP EAMCET 2006 Hard
- \(\sum_{n=1}^{\infty} \frac{2 n}{(2 n+1) !}\) is equal toAP EAMCET 2011 Hard
More PYQs from AP EAMCET
- A light from Paschen series of hydrogen atom is able to eject photoelectrons from a metal. Then the work function of the metal isAP EAMCET 2022 Medium
- Assertion (A) : Electromagnets are made of soft iron
Reason (R): Coercivity is small for soft ironAP EAMCET 2017 Easy - Let \(\mathrm{L}\left(\mathrm{x}_1, 4\right)\) be the end of the Latus rectum of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) lying in the first quadrant and let \(S\left(8, y_1\right)\) be the focus of the given hyperbola. Then the length of its transverse axis isAP EAMCET 2022 Medium
- If the range of a body projected with a velocity of \(60 \mathrm{~m} \mathrm{~s}^{-1}\) is \(180 \sqrt{3} \mathrm{~m}\), then the angle of projection of the body is
(Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2025 Medium - If the points whose position vectors are \(2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, 6 \hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(14 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+p \hat{\mathbf{k}}\) are collinear, then the value of \(p\) is
are collinear, then the value of \(p\) isAP EAMCET 2007 Easy - A box contains 4 defective and 6 good machines. Two machines are selected at random without replacement. Find the probability that both the machines are good.AP EAMCET 2020 Easy