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AM,GM,HM Inequality

If xϵ R, th...

Question

If $x ϵ R$ , the numbers $5^{1 - x} + 5^{1 - x}, a / 2, 25^{x} + 25^{- x}$ form an A.P. then $^{'} a^{'}$ must lie in the interval.

[1, 5]

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[2, 5]

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[5, 12]

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[12, \infty)

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Solution

The correct option is D $[12, \infty)$

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Similar questions

\in

5^{(1 - x)} + 5^{(x + 1)}

(25^{x} + 25^{- x})

x ϵ R

2^{1 + x} + 2^{1 - x}, \frac{b}{2}, 36^{x} + 36^{- x}

a

x

5^{1 + x} + 5^{1 - x}, \frac{a}{2}, 25^{x} + 25^{- x}

5^{1 + x} + 5^{1 - x}, a / 2, 25^{x} + 25^{- x}

x \in R,

2^{1 + x} + 2^{1 - x}, b / 2, 36^{x} + 36^{- x}

b

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