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Questions  

Given four lines whose equations are x+2y3=0,2x+3y4=0,3x+4y7=0 and 4x+5y6=0, then the lines are 

a
concurrent
b
the sides of a quadrilateral with one vertex at (3, 0)
c
the sides of a cyclic quadrilateral
d
none of these

detailed solution

Correct option is D

Three lines x+2y−3=0,2x+3y−4=0 and4x+5y−6=0 are concurrent at  (−1,2). But the fourth line 3x+4y−7=0 does not pass throughthis point.

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The line x/3+y/3=1 meets the y-and x-axis at A and B, respectively. A square ABCD is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are 


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