Find all the values of the parameter ( ) for which the area of the figure bounded by…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

Find all the values of the parameter

a

(

a \ge 1

) for which the area of the figure bounded by pair of straight lines

y^2 - 3y + 2 = 0

and the curves

y = [a]x^2

y = \frac{1}{2}[a]x^2

is greatest, where

[.]

denotes the greatest integer function.