Question
If x, y, z are in G.P. and ax = by = cz, then
Answer: Option B
:
B
x, y, z are in G.P., then y2 = x.z
Nowax =by = cz = m
⇒xlogda = ylogdb = zlogdc = logdm
⇒x = logam, y=logbm, z = logcm
Again as x, y, z are in G.P., so yx = zy
⇒logbmlogam = logcmlogbm ⇒logba = logcb
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:
B
x, y, z are in G.P., then y2 = x.z
Nowax =by = cz = m
⇒xlogda = ylogdb = zlogdc = logdm
⇒x = logam, y=logbm, z = logcm
Again as x, y, z are in G.P., so yx = zy
⇒logbmlogam = logcmlogbm ⇒logba = logcb
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