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Start the planPerpendicular 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
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
