Let a, b, c and d be positive real numbers such that a+b+c+d=11. If the maximum value of a⁵ b³ c² d is 3750 β, then the value of β is

Sequence and Series: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Evening shift · Q5185

JEE Main 202311 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

Let

a, b, c

and

d

be positive real numbers such that

a+b+c+d=11

. If the maximum value of

a^{5} b^{3} c^{2} d

3750 \beta

, then the value of

\beta

JEE Main 2023 · 11 Apr, Evening shift · Q5185

JEE Main 202311 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

Let

a, b, c

and

d

be positive real numbers such that

a+b+c+d=11

. If the maximum value of

a^{5} b^{3} c^{2} d

3750 \beta

, then the value of

\beta