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Show that the lines joining the origin t...

Show that the lines joining the origin to the points of intersection of the curve `x^2+xy+y^2+3x+3y-2=0` and the straight line `x-y-sqrt2=0`are mutually perpendicular .

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The correct Answer is:
`:.` OA, OB are perpendicular.
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Knowledge Check

  • The equation of the bisectors of the angles between the lines joining the origin to the point of untersection of the curve x^(2)+xy + y^(2)+x+3y + 1 = 0 and the straight line x+y+2=0 is

    A
    `2x^(2)-4xy+y^(2)=0`
    B
    `x^(2)-4xy+y^(2)=0`
    C
    `2x^(2)+4xy+y^(2)=0`
    D
    `x^(2)+4xy-y^(2)=0`

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