Definite IntegrationHard
Question
For which of the following values of m, is the area of the region bounded by the curve y = x - x2 and the line y = mx equals 9/2 ?
Options
A.-4
B.-2
C.2
D.4
Solution
y = x - x2 : y = mx
first find point of intersection : x - x2 = mx
x2 + (m - 1) x = 0 x = 0 , 1 - m
Case - I Area of OABCO
A =
=
= 9/2
= m = - 2
Case - II Area of PAOP
= 9/2
⇒ m = 4
first find point of intersection : x - x2 = mx
x2 + (m - 1) x = 0 x = 0 , 1 - m
Case - I Area of OABCO
A =
=
= 9/2= m = - 2
Case - II Area of PAOP
= 9/2⇒ m = 4
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