Questions
If a straight line cuts intercepts from the axes of coordinates the sum of the reciprocals of which is a constant k, then the line passes through the fixed point
detailed solution
Correct option is B
Let the equation of the line bexa+yb=1 (1)Its intercepts on x-axis and y-axis are a and b respectively.Given:1a+1b=k⇒1ak+1bk=1 or1/ka+1/kb=1 (2)From (2) it follows that the line (1) passes through the fixed point1k,1kTalk to our academic expert!
Similar Questions
The equation of the straight line which passes through the point such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is
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