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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Locus of a point
Forum Index -> Analytical Geometry like the article? email it to a friend.  
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srujana (3045)

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Find Locus of point P(x,y)  such that sum of its distances from two fixed perpendicular straight lines is 2 units.

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sankydreams (958)

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Let the first line be ax + by = c
The line perpendicular to this line will be : bx - ay = c

Let pt be (h,k) (to avoid confusion)
dist from first line = (ah + bk - c)/(a^2 + b^2)^1/2
dist from sec line = (bh - ak - c)/(a^2 + b^2)^1/2

form the eqn, u will get the answer
rater if this helps u...
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nivedh_89 (4512)

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sankydreams has given the best possible answer according to me......good one yaar.............

The inevitable truth of life.....everyone in our life is going 2 hurt sooner or later......u just have 2 realise who is worth.....

the PAIN or the PERSON...!!!
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chimanshu_007 (11349)

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yup
good answer

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spideyunlimited (3083)

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best answer would be

Let the 2 perpendicular lines be X axis and Y axis
thus eqn will be
| x | + | y | = 2 ...(distance from x axis = x coordinate, and from y axis = y coordinate)

put values of x and y as 2, 1 , 0 and see the points of intersection with x and y axes
locus is a tilted square with coordinates as (2,0) , (0,2)
, (-2,0) and (0, -2)


PLZ RATE :)


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