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Variation of G Due to Height and Depth

If A, G, H ...

Question

If $A, G, H$ are respectively $A M, G M$ and $H M$ between two given numbers, then.

A

A > H > G

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B

G > A > H

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C

A > G > H

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D

A < G < H

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Solution

The correct option is D $A > G > H$
Hence, option 'C' is correct.

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Similar questions

A, G

H

A M, G M

H M

respectively of two unequal positive integers. Then the equation

A x^{2} - | G | x - H = 0

A_{1} a n d A_{2}

G_{1} a n d G_{2}

H_{1} a n d H_{2}

are inserted between any two numbers. Then find the arithmetic mean between

H_{1} a n d H_{2}

A_{1}, A_{2}, G_{1}, G_{2} .

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be the AM, GM and HM of two positive numbers

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Q. If A, G & H are respectively the AM, GM and HM of three positive numbers a, b & c then the equation whose roots are a, b & c is given by

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be two A.M.s, G.M.s and H.M.s between two numbers then prove:

\frac{G_{1} G_{2}}{H_{1} H_{2}} = \frac{A_{1} + A_{2}}{H_{1} + H_{2}}

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Variation of G Due to Height and Depth

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