If a and x are positive integers such that x

# If $a$ and $x$ are positive integers such that $x and  are in A.P., then least possible value of $a$ is

1. A

5

2. B

7

3. C

11

4. D

none of these

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### Solution:

We have $2\sqrt{x}=\sqrt{a+x}+\sqrt{a-x}$

As $a$ and $x$ are positive integers, least possible value of $x$ is $4$ and that of $a$ is $5.$

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