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The straight lines represented by (y-m x...

The straight lines represented by `(y-m x)^2=a^2(1+m^2)` and `(y-n x)^2=a^2(1+n^2)` from a rectangle (b) rhombus trapezium (d) none of these

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The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2)) and (y-nx)^(2)=a^(2)(1+n^(2)) from a (a)rectangle (b) rhombus (c)trapezium (d) none of these

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Knowledge Check

  • The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(2)=a^(2)(1+n^(2)) form a

    A
    rectangle
    B
    rhombus
    C
    trepezium
    D
    None of these

  • If the angle between the straight lines represented by 2x^(2)+5xy+3y^(2)+7y+4=0 is tan^(-1)m then [(1)/(pi m)] is (where [.] denote greatest integer function)

    A
    `0`
    B
    `1`
    C
    `2`
    D
    `3`

  • If the equation ax^(2)+2hxy+by^(2)=0 represented two lines y=m_(1)x and y=m_(2)x the

    A
    `m_(1)+m_(2)=(-2h)/b` and `m_(1)m_(2)=a/b`
    B
    `m_(1)+m_(2)=(2h)/b` and `m_(1)m_(2)=(-a)/b`
    C
    `m_(1)+m_(2)=(2h)/b` and `m_(1)m_(2)=a/b`
    D
    `m_(1)+m_(2)=(2h)/b` and `m_(1)m_(2)=-ab`

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