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The joint equation of pair of lines pass...

The joint equation of pair of lines passing through the origin and parallel to the lines `y=m_(1)x+c_(1) and y=m_(2)x+c_(2)` is

A

`m_(1)m_(2)x^(2)-(m_(1)+m_(2))xy+y^(2)=0`

B

`m_(1)m_(2)x^(2)+(m_(1)+m_(2))xy+y^(2)=0`

C

`m_(1)m_(2)y^(2)-(m_(1)+m_(2))xy+x^(2)=0`

D

`m_(1)m_(2)y^(2)+(m_(1)+m_(2))+x^(2)=0`

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Knowledge Check

  • Joint equation of lines passing through the origin, and parallel to the lines y-m_(1)x+c_(1) and y=m_(1)x+c_(2) , is

    A
    `m_(1)m_(2)x^(2)-(m_(1)_m_(2))xy+y^(2)=0`
    B
    `m_(1)m_(2)x^(2)+(m_(1)+m_(2))xy+y^(2)=0`
    C
    `m_(1)m_(2)y^(2)-(m_(1)+m_(2))xy+x^(2)=0`
    D
    `m_(1)m_(2)y^(2)+(m_(1)+m_(2))xy+x^(2)=0`

  • Equation of pair of lines passing through (3,4) and parallel to lines x^(2)-y^(2)=0

    A
    `x^(2)-y^(2)-6x+8y-9=0`
    B
    `x^(2)-y^(2)-6x+8y-7=0`
    C
    `x^(2)-y^(2)-4x+8y-1=0`
    D
    `x^(2)-y^(2)-6x+7y-11=0`

  • Equation of the line passing through (1,2) and parallel to the line y=3x-1 is

    A
    `y+2=x+1`
    B
    `y+2=3(x+1)`
    C
    `y-2=3(x-1)`
    D
    `y-2=x-1`

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