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ashok kumar Grade: 11
        A line through the origin intersects x+1,y=2 and x+y=4 in A,B, and C such that OA*OB*OC=8root2. find equation of the line.
7 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

let the eq of line y=mx (m is the slope of line)


 A is the point of intersection of line and x=-1


 A =(-1,-m)


B is the intersection of line and y=2


B =(2/m ,2)


C is the intersection of line and x+y=4


C=(4/m+1 ,4m/m+1 )


 OA.0B.OC=8root2...........1


 OA=root1+m^2 ............2


OB=(2/m)root1+m^2..........3


OC=(4/m+1)root1+m^2.......4


after solving we get m=1


 so the eq of line is y=x

7 years ago
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