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Distance between the pair of lines repre...

Distance between the pair of lines represented by the equation `x^(2)-6xy+9y^(2)+3x-9y-4=0`, is

A

`(15)/(sqrt(10))`

B

`(1)/(2)`

C

`sqrt((5)/(2))`

D

`(1)/(sqrt(10))`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The distance between the pair of parallel lines represented by the equation x^2-6xy+9y^2+3x-9y-4=0 is

    A
    `(15)/(sqrt10)`
    B
    `1/2`
    C
    `sqrt(5/2)`
    D
    `1/(sqrt(10))`

  • The nature of straight lines represented by the equation 4x^(2)+12xy+9y^(2)=0 is

    A
    Real and coincident
    B
    Real and different
    C
    Imaginary and different
    D
    None of the above

  • The straight lines represented by the equation 9x^(2)-12xy+4y^(2)=0 are

    A
    coincedent
    B
    perpendicular
    C
    interset at `60^(@)`
    D
    inclined at an angle of `45^(@)`

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