Let a be a positive number and b = 4/a . What is the mean proportional of a and b?

Let a be a positive number and b = 4/a . What is the mean…

Let a be a positive number and b = $\frac{4}{a}$ . What is the mean proportional of a and b?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 2.

The mean proportional of two numbers a and b is the square root of their product.

Given:

a is a positive number

b = 4/a

So, the mean proportional is: √(a × 4/a) = √4 = 2

Therefore, the mean proportional of a and 4/a is 2.