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Show that a homogeneous equations of deg...

Show that a homogeneous equations of degree two in x and y , i.e., `ax^(2) + 2 hxy + by^(2) = 0` represents a pair of lines passing through the origin if `h^(2) - 2ab ge 0`.

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Knowledge Check

  • The equation ax^(2)=2hxy+by^(2)=0 represented a pair of coincident lines through the origin if

    A
    `h^(2)=ab`
    B
    `2h=ab`
    C
    `a=bh`
    D
    `b=ah`

  • The equation 4x^(2)+hxy+y^(2)=0 represents a pair of coincident lines through origin, if h=

    A
    `pm2`
    B
    `pm16`
    C
    `pm4`
    D
    `pm3`

  • The equation ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident lines through origin, if

    A
    `h=2a`
    B
    `2h=a`
    C
    `h=pma`
    D
    `2h^(2)=a`

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