QJEEM17Mafe1a: JEE Main 2017 Mathematics - Class 11 JEEM17Mafe1a Solution: If three positive numbers a, b and c are in A.P. such that abc…

Question

Verified Solution • 2025–26 Session moderate

If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :

Accepted Answer

a, b and c are in AP.

∴

a + c = 2b

As, abc = 8

\Rightarrow

ac

(\frac{a + c}{2})

= 8

\Rightarrow

ac(a + c) = 16 = 4

\times

4

∴

ac = 4 and a + c = 4

Then,

b =

(\frac{a + c}{2})

=

\frac{4}{2}

= 2

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