If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x = 3/2 and the curve y = 1 + 4x - x², then 12 m is equal to _ _ _ _ _ _ _.

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Evening shift · Q23

JEE Main 202131 Aug, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x =

{3 \over 2}

and the curve y = 1 + 4x

-

x², then 12 m is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 31 Aug, Evening shift · Q23

JEE Main 202131 Aug, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x =

{3 \over 2}

and the curve y = 1 + 4x

-

x², then 12 m is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.