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Given A(0,0) and B(x,y) wih x in (0,1) "...

Given A(0,0) and B(x,y) wih `x in (0,1) " and " y gt 0`. Let the slope of line AB be `m_(1), "where" 0 lt m_(2) lt m_(1)`. If the are of triangle ABC can be expresses as `(m_(1) - m_(2)) f (x).` then the largest possible value of `f(x)` is

A

1

B

` (1)/(2)`

C

`(1)/(4)`

D

` (1)/(8) `

Text Solution

Verified by Experts

The correct Answer is:
D
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