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Find the combined equation of two lines ...

Find the combined equation of two lines whose equations are `ax + by + c = 0` and px + qy = 0. Find the equations to two lines represented by the equation.

Text Solution

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The correct Answer is:
` apx^(2) + (aq + bp) xy + bay^(2) + cpx + cqy = 0`
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Knowledge Check

  • The combined equation of two lines L and L_(1) is 2x^(2) + axy + 3y^(2) = 0 and the combined equation of two lines L and L_(2) is 2x^(2) + b xy - 3y^(2) = 0 . If L_(1) and L_(2) are perpendicular, then a^(2) + b^(2) =

    A
    26
    B
    29
    C
    13
    D
    85

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