Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the locus of a point whose sum of the distances from the origin and the line x = 2 is 4 units.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
+ |x – 2| = 4
Sol. Required locus is 
+ |x – 2| = 4
or 
or 
or 
(1) is a part of parabola with vertex (3, 0) and axis y = 0.
(2) is a part of parabola with vertex (–1, 0) and axis y = 0
The sketch of the path is as shown in the figure.
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