Question

If a,b,c are in G.P., then

• A. a²,b²,c² are in G.P.
• B. a²(b+c),c²(a+b),b²(a+c) are in G.P.
• C. (a)/(b+c),(b)/(c+a),(c)/(a+b) are in G.P.
• D. None of these

Hint:

Squaring terms preserves geometric progression.

Answer 1

The Correct Option is A

Step 1: If a,b,c are in G.P., then (b)/(a)=(c)/(b).
Step 2: Squaring preserves the ratio, hence a²,b²,c² are also in G.P.