The mean proportional of a and b is c. What is the mean proportional of a2 c and b2 c?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. c3.
Given:
Mean proportional of a and b is c.
Concept Used:
Mean proportional of a and b, c = ....(i)
Explanation:
From equation (i), we get c2 = ab
⇒ ab = c2
So mean proportional of a2 c and b2 c =
⇒
⇒ abc
⇒ c2.c = c3
Hence the mean proportional of a2 c and b2 c is c3.