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if a b c are in g p then
Question:
If a,b,c are in G.P., then
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Squaring terms preserves geometric progression.
BITSAT - 2018
BITSAT
Updated On:
Mar 20, 2026
a²,b²,c² are in G.P.
a²(b+c),c²(a+b),b²(a+c) are in G.P.
(a)/(b+c),(b)/(c+a),(c)/(a+b) are in G.P.
None of these
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The Correct Option is
A
Solution and Explanation
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.
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