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Find the value of a for which the lines ...

Find the value of `a` for which the lines represented by `a x^2+5x y+2y^2=0` are mutually perpendicular.

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The lines given by `ax^(2)+5xy+2y^(2)=0` are mutually perpendicular if `a+2=0,i.e.,a=-2`.
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Knowledge Check

  • The equation of the plane through the line of intersection of the planes 2x+y-z+5=0 and x+2y+3z=4 and perpendicular to the plane 5x+3y+6z=10 is -

    A
    `51x+15y-50z=173`
    B
    `5x-15y+50z+117=0`
    C
    `51x+15y-50z+173=0`
    D
    `63x-43y-50z+117=0`

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