how to find the common region bounded by two curves ?
Is there anything we need to keep in mind while taking out the common region under the given curves ?
Dear Student,
As such there is nothing to remember as it is a step by step process and here in this example you will understand,
Intersection point can be found by putting y2 = 6x-3 in circle equation.
So 6x-3 + x2 - 4 = 0
Or x2 + 6x -7 = 0
So (x +7)(x -1) = 0
Or x = -7 and x =1
For smaller region x = 1.
Hence
As such there is nothing to remember as it is a step by step process and here in this example you will understand,
find the area of the smaller region bounded by the curves x^2+y^2 = 4 and y^2 = 3(2x-1)
Solution-
Intersection point can be found by putting y2 = 6x-3 in circle equation.
So 6x-3 + x2 - 4 = 0
Or x2 + 6x -7 = 0
So (x +7)(x -1) = 0
Or x = -7 and x =1
For smaller region x = 1.
Hence
