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If the equation ax ^(2) - 6xy +y ^(2) + ...

If the equation `ax ^(2) - 6xy +y ^(2) + 2gx + 2fy + x =0` represents a pair of lines whose slopes are m and `m^(2),` then sum of all possible values of `|(3a)/(10)|` is` "______"`

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Knowledge Check

  • IF the equation x^(2) + y^(2) + 2gx + 2fy + 1 = 0 represents a pair of lines, then

    A
    `g^(2) -f^(2) = 0`
    B
    `f^(2) - g^(2) = 1`
    C
    `g^(2) + f^(2) = (1)/(2)`
    D
    `f^(2) - g^(2) = 1`.

  • If the equatoin ax^(2)-y^(2)+bx+cy+d=0 represents a pair of lines whose slopes are m and m^(2) , then value (s) of a is /are

    A
    `a=-8`
    B
    `a=8`
    C
    `a=27`
    D
    `a=-27`

  • the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if

    A
    `Delta =0,h^(2) lt ab`
    B
    `Delta ne 0, h^(2) lt ab`
    C
    `Delta ne 0, h^(2) gt ab`
    D
    `Delta ne 0, h^(2) = ab`

    • Similar Questions

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    If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

    If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

    If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then

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