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If sides of triangle A B C are a , ba n ...

If sides of triangle `A B C` are `a , ba n dc` such that `2b=a+c` then `b/c >2/3` (b) `b/c >1/3` `b/c<2` (d) `b/c<3/2`

A

`(b)/(c) gt (2)/(3)`

B

`(b)/(c) gt (1)/(3)`

C

`(b)/(c) lt 2`

D

`(b)/(c) lt (3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`a + b gt c or 2b - c + b ge c or 3b gt 2c`
or `(b)/(c) gt (2)/(3)`
Also, `b+c gt a or b + c gt 2b - c or 2c gt b`
or `(b)/(c) gt 2`
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