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If \( \frac{1}{\sqrt{b}+\sqrt{c}}\)\( \frac{1}{\sqrt{c}+\sqrt{a}}\), \( \frac{1}{\sqrt{a}+\sqrt{b}}\) are in A.P., then \( {9}^{ax-1}\), \( {9}^{bx-1}\), \( {9}^{cx-1}\) \( (x\ne\;0)\) are in
a.A.P.
b.G.P.
c.H.P.
d.none of these

Answer

B
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Solution

Solution for If  frac{1}{sqrt{b}+sqrt{c}}, frac{1}{sqrt{c}+sqrt{a}},  frac{1}{sqrt{a}+sqrt{b}} are in A.P., then  {9}^{ax-1},  {9}^{bx-1},  {9}^{cx-1}  (xne;0) are in a.A.P.b.G.P.c.H.P.d.none of these
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