JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Let

a

be a positive number such that the arithmetic mean of

a

and 2 exceeds their geometric mean by 1. Then, the value of

a

View answer and explanation

Correct option: D

Option D (8) is correct because solving the equation

\frac{{a + 2}}{2} = \sqrt {2a} + 1

leads to

a = 8

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\frac{3}{4}