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The arithmetic mean between two numbers is A and the geometric mean is G. Then these numbers are: |
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Answer» let nos be `x & y` `(x+y)/2 =A` `x+y = 2A` `sqrt(xy) = a` `xy = a^2` `x-y = sqrt((x+y)^2 - 4xy)` `= sqrt(4A^2 - 4G^2)` `x-y = 2 sqrt(A^2 - G^2 )` `2x = 2 sqrt(A^2 - G^2) + 2A` `x = A + sqrt(A^2 - G^2)` now `y= 2A-x` `= 2A-A - sqrt(A^2 - G^2)` `y= A- sqrt(A^2 - G^2)` option c is correct answer |
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