Straight LineHard

Question

Given A(0, 0) and B(x, y) with x ∈ (0, 1) and y > 0 let the slope of line AB equals m1. Point C lies in the line x = 1 such that slope of BC equals m2 where 0 < m2 < m1. If the area of ᐃABC can be expressed as (m1 - m2) f(x), then the largest possible value of f(x) is :

Options

A.1
B.
C.
D.

Solution

f(x) = (x - x2)

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