A) A fixed point
B) A variable point
C) Origin
D) None of these
Correct Answer: A
Solution :
Take two perpendicular lines as the coordinate axes. If a, b be the intercepts made by the moving line on the coordinate axes, then the equation of the line is \[\frac{x}{a}+\frac{y}{b}=1\] .....(i) According to the question \[\frac{1}{a}+\frac{1}{b}=\frac{1}{k}\], (say) i.e., \[\frac{k}{a}+\frac{k}{b}=1\] .....(ii) The result (ii) shows that the straight line (i) passes through a fixed point (k, k).You need to login to perform this action.
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