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If a,b,c,in R^(+), and a,b,c, d are in H...

If `a,b,c,in R^(+)`, and a,b,c, d are in H.P. then

A

`a+dgt b+c`

B

`a+bgt c+d`

C

`a+cgt b+d`

D

none of these

Text Solution

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The correct Answer is:
A
a,b,c,d are in H.P. Hence, b is H.M. of a and c, c is H.M of b and d. Using A.M `ge` H.M., we get `(a + c)/(2) gt b` or `a + c gt 2b`
and `(b + d)/(2) gt c` or `b + d 2c`
or `a + c + d gt 2b + 2c`
or `a + d gt b + c`
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