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A is a positive number and if a : 27/6...

A is a positive number and if ` a : 27/64 = 3/4 : a`, then the value of a will be

A

`81/(256)`

B

9

C

`9/16`

D

`16/9`

Text Solution

Verified by Experts

The correct Answer is:
C
Given that ` a : 27/64 = 3/4 : a`
or, `a/((27)/(64)) = (3/4)/a " or," a^(2) = 27/64 xx 3/4`
or, ` a^(2) = 81/(256)`
or, ` a = sqrt(81/256) =sqrt((9/16)^(2)) = 9/16`.
`:. ` (c ) is correct.
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