Answer :

The given equations are,


y2 = 6x



And x2 = 6y.



When y = 0 then x = 0,


Or


Putting x value on y2 = 6x,


y2 = 6


Or 6


Or


Or y = 6


When y = 0 then x = 0,


And When y = 6 then x = 6,


On solving these two equations, we get point of intersections.


The points are O (0,0) and A(6,6). These are shown in the graph below



Now the bounded area is the required area to be calculated, Hence,


Bounded Area, A = [Area between the curve (i) and x axis from 0 to 6] - [Area between the curve (ii) and x axis from 0 to 6]




On integrating the above definite integration,



Area of the region bounded by the parabolas y2 = 6x and x2 = 6y is 12sq. units.


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