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Questions  

The straight lines 4x3y5=0,x2y=07x+y40=0  and  x+3y+10=0 form

a
a rectangle
b
a parallelogram
c
a cyclic quadrilateral
d
none of these

detailed solution

Correct option is C

tan⁡A=12+71−72=−3tan⁡C=43+131−43×13=3⇒tan⁡(A+C)=0⇒A+C=180∘⇒ABCD is a cyclic quadrilateral.

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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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