jee-main 2017 Q83

jee-main · India · 09apr Arithmetic Sequences and Series Properties of AP Terms under Transformation

For any three positive real numbers $a$, $b$ and $c$, $9 ( 25 a ^ { 2 } + b ^ { 2 } ) + 25 ( c ^ { 2 } - 3 a c ) = 15 b ( 3 a + c )$. Then:
(1) $b$, $c$ and $a$ are in G.P.
(2) $b$, $c$ and $a$ are in A.P.
(3) $a$, $b$ and $c$ are in A.P.
(4) $a$, $b$ and $c$ are in G.P.

For any three positive real numbers $a$, $b$ and $c$, $9 ( 25 a ^ { 2 } + b ^ { 2 } ) + 25 ( c ^ { 2 } - 3 a c ) = 15 b ( 3 a + c )$. Then:\\
(1) $b$, $c$ and $a$ are in G.P.\\
(2) $b$, $c$ and $a$ are in A.P.\\
(3) $a$, $b$ and $c$ are in A.P.\\
(4) $a$, $b$ and $c$ are in G.P.

Paper Questions

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