Straight lines

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Discussion Response Post to: Straight lines

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HIMANSHU JAIN (376)

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total posts: 267
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it's easy.

diagonals of rectangle bisect each other.
so, mid-pt (3,2).
so,diagonal pass through it.
=> c=-4.

Now,1st method:
let's assume one of the point to be (x,y) as one of the remaining vertex on the given diagonal.
rotate the line by 45 degree clockwise,and it'll pass through one of the given vertex.It gives you one eqn of line.
Now, rotate it 45 anti-clk it'll pass through other point. hence, 2nd eqn.
find point of intersection of both lines, u'll get one of the vertex.
u have mid point so 4th vertex could be found.

2nd method (easy one):
assume co-ord (a,b) and (c,d)
u know their mid pt as diag. bisect.
also, u can make sides of rectangle equal for more conditions and also these points satisfy the given equation of line,i.e., diagonal.
u'll get required values.

Himanshu Jain P.E.C. http://jainhim.blogspot.com/

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