Area under the curveHard
Question
Let the straight line x = b divides the area enclosed by y = (1 - x)2, y = 0 and x = 0 into two parts R1(0 ≤ x ≤ b) and R2(b ≤ x ≤ 1) such that R1 - R2 = 1/4 . Then b equals
Options
A.3/4
B.1/2
C.1/3
D.1/4
⇒ (b - 1)3 = - 1/8 ⇒ b = 1/2 More Area under the curve Questions
Consider the following regions in the plane :R1 = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1} and R2 = {(...The whole area of the ellipse = 1 is-...If area bounded by the curve y2 = 4 ax and y = mx is a2/3, then the value of m is -...The area of the figure bounded by the curves y = lnx & y = (lnx)2 is -...The area between the curve y = log x and x-axis which lies between x = a and x = b (a > 1, b > 1) is-...