Perpendicular lines \(m\) and \(n\) intersect at point \((a, b),\) where \(a > b > 0.\) The slope of line \(m\) is

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Perpendicular lines \(m\) and \(n\) intersect at point \((a, b),\) where \(a > b > 0.\) The slope of line \(m\) is between \(0\) and \(1.\) Which of the following statements MUST be true?

I. The \(x\)-intercept of line \(n\) is positive
II. The product of the \(x\) and \(y\)-intercepts of line \(m\) is not positive
III. The sum of the \(x\)-intercepts of lines \(m\) and \(n\) is positive

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

The OA is D
Source: — Problem Solving |