Given A(0, 0) and B(x, y) with x in (0, ...

Given A(0, 0) and B(x, y) with `x in (0, 1)` and `y gt 0`. Let the slope of the line AB equals `m_1`. Point C lies on the line x = 1 such that the slope of BC equals `m_2` where `0 lt m_2 lt m_1`. If the area of the triangle ABC can be expressed 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`

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The correct Answer is:

D

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