Answer :
To find area bounded by
X = y2 …(i)
And
X = 3 – 2y2 …(ii)
On solving the equation (i) and (ii),
y2 = 3 – 2y2
Or 3y2 = 3
Or y = 1
When y = 1 then x = 1 and when y = – 1 then x = 1
Equation (i) represents an upward parabola with vertex (0, 0) and axis – y.
Equation (ii) represents a parabola with vertex (3, 0) and axis as x – axis.
They intersect at A (1, – 1) and C (1, 1)
These are shown in the graph below: -
Required area = Region OABCO
= 2 Region OBCO
= 2[Region ODCO + Region BDCB]
The area bounded by the curves x = y2 and x = 3 – 2 y2 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
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Draw a rough sket
Mathematics - ExemplarCompute the area
Mathematics - ExemplarUsing integration
Mathematics - Board PapersFind the area of
Mathematics - Board PapersFind the area of
Mathematics - ExemplarEvaluate <span la
Mathematics - Board PapersThe area of the r
Mathematics - ExemplarFind the area bou
Mathematics - Exemplar