The area bounded between the parabolas x 2 = 4 y and x 2 = 9 y , and the straight line y = 2 is

Required area A = 2 [ ∫ 0 2 ( 3 y − 2 y ) d y ] = 2 ∫ 0 2 2 5 y d y = 5 [ 3/2 y 3/2 ] 0 2 = 3 10 [ 2 3/2 − 0 ] = 3 20 2

Home

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2012

MathematicsEasysingle choice

The area bounded between the parabolas $x^{2} = \frac{y}{4}$ and $x^{2} = 9 y$ , and the straight line $y = 2$ is

Question diagram: The area bounded between the parabolas x 2 = 4 y and x 2 =

Options:

Answer:

Solution:

Required area $A = 2 [\int_{0}^{2} (3 y - \frac{y}{2}) d y] = 2 \int_{0}^{2} \frac{5 y}{2} d y = 5 [\frac{y ^{3/2}}{3/2}]_{0}^{2} = \frac{10}{3} [2^{3/2} - 0] = \frac{20 2}{3}$

Stream:JEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by two curves

⏱ 2mℹ️ Source: PYQ_2012

Doubts & Discussion

Loading discussions...