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CGP EDU Academic Team
Published on: August 13, 2026
A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant, then the line passes through
Text Solution
Verified by ExpertsThe correct answer is:
A
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
.....(i)
According to the question 
, (say)
i.e., 
.....(ii)
The result (ii) shows that the straight line (i) passes through a fixed point ( k , k ).
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