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The lines represented by the equation x^...

The lines represented by the equation `x^2-y^2-x+3y-2=0` are

A

`x+y-1=0,x-y+2=0`

B

`x-y-2=0,x+y+1=0`

C

`x+y+2=0,x-y-1=0`

D

`x-y+1=0,x+y-2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
The given equation of pair of straight lines can be rewritten as `(x-y+1)(x+y-2)=0`
`therefore` The equation of lines which are represented by the given equation are `x-y+1=0 and x+y-2=0`
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Knowledge Check

  • The separate equations of the lines represented by the equation 3x^(2)-y^(2)=0 are

    A
    `sqrt(3)x+2y=0 and sqrt(3)-2y=0`
    B
    `sqrt(3)x-y=0 and sqrt(3)x+y=0`
    C
    `3x-y=0 and x+y=0`
    D
    `3x+y=0 and x-y=0`

  • The separate equations of the lines represented by the equation 5x^(2)-3y^(2)=0 are

    A
    `sqrt(5)x-sqrt(3)y=0 and sqrt(5)x+sqrt(3)y=0`
    B
    `sqrt(5)x-sqrt(3)y=0 and sqrt(3)x+sqrt(5)y=0`
    C
    `5x-3y=0 and x+y=0`
    D
    `x-y=0 and 5x-3y=0`

  • The lines represented by the equation 23x^(2)-48xy+3y^(2)=0 and 2x+3y+4=0 form

    A
    an isosceles triangle
    B
    a right angled triangle
    C
    an equilateral triangle
    D
    a scalene triangle

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