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A line has an acute angled inclination and does not pass through the origin. If it makes intercepts $$a$$ and $$b$$ on x-, y-axes respectively, then $$\frac{|ab|}{ab} =$$ _________
Correct Answer: -1
The line is $$\frac{x}{a} + \frac{y}{b} = 1$$, with slope $$-\frac{b}{a}$$. An acute inclination means a positive slope, so $$a$$ and $$b$$ have opposite signs and $$ab < 0$$. Hence $$\frac{|ab|}{ab} = -1$$.
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