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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)

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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