Answer :

To find the area enclosed by

y = 5x2 ...(i)


and y = 2x2 + 9 ...(ii)


On solving the equation (i) and (ii),


5x2 = 2x2 + 9


Or 3x2 = 9


Or x =


Or 15


Equation (i) represents a parabola with vertex O (0, 0) and axis as y - axis .


Equation (ii) represents a parabola with vertex C (0, 9) and axis as the y - axis.


Points of intersection of parabolas are A (√3, 15) and B( – √3,15)


These are shown in the graph below: -



Required area = Region AOBCA


= 2(Region AOCA)







The area enclosed by the parabolas y = 5x2 and y = 2x2 + 9 is


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Draw a rough sketMathematics - Exemplar

Compute the area Mathematics - Exemplar

Using integrationMathematics - Board Papers

Find the area of Mathematics - Board Papers

Find the area of Mathematics - Exemplar

Evaluate <span laMathematics - Board Papers

The area of the rMathematics - Exemplar

Find the area bouMathematics - Exemplar