JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

m

is a root of the given equation

\left( {1 - ab} \right){x^2} - \left( {{a^2} + {b^2}} \right)x - \left( {1 + ab} \right) = 0

and

m

harmonic means are inserted between

a

and

b

, then the difference between the last and the first of the means equals

View answer and explanation

Correct option: B

ab\left( {b - a} \right)

Option B (

ab(b - a)

) is correct because the difference between the last and first harmonic means inserted between a and b is

ab(b-a)

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\frac{3}{4}