SATHEE: Straight Line Question 215

Straight Line Question 215

Question: If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is

Options:

A) Square

B) Circle

C) Straight line

D) Two intersecting line

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Let the two perpendicular lines be the coordinate axes and let the point be P(h, k). Then sum of the distances of P(h, k) from the coordinate axes is $ | h |+| k |. $ It is given that $ | h |+| k |=1. $ So, locus of (h, k) is $ | x |+| y |=1. $ this gives four lines $ x+y=1,x-y=1,-x+y=1,-x-y=1 $ which enclose a square.

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Straight Line Question 215

Question: If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is

Options:

Answer:

Solution:

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