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Lines 3x + 2y = 12 and 6x + 4y = 8 are p...

Lines `3x + 2y = 12` and `6x + 4y = 8` are parallel.

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Do the equations 3x + 6y = 2 and 6x + 12y = 4 represent a pair of consistent lines ?

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Knowledge Check

  • For what value of k , the two lines 3x - 5y = 4 and 6x - ky = 8 are parallel to each other?

    A
    `k = 1` only
    B
    `k = 0` only
    C
    `k` can have any real value
    D
    No value of `k` is possible
  • For what value of k, the two lines 2x - 4y = 6 and 3x - 6y = k are parallel forever?

    A
    `k = -9` only
    B
    `k = 9`
    C
    All real values except 9
    D
    none of these
  • The perpendicular distance between two parallel lines 3x + 4y -6=0 and 6x + 8y +7=0 is equal to

    A
    `(19)/(10)` unit
    B
    `(19)/(2)` unit
    C
    `(19)/(5)` unit
    D
    `(10)/(19)` unit
  • Similar Questions

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    For what value of k, the system of equations 3x + 4y = 6 and 6x + 8y = k represents coincident lines?

    Find the equation of the line passing through the intersection of the lines x+2y+3=0 and 3x+4y+7=0 , and parallel to the lie y-x=8

    Find whether the lines represented by 2x+ y=3 and 4x+ 2y= 6 are parallel, coincident or intersecting.

    For which value of lambda , plane 4x + 6y -2z =8 and 2x+3y+ lambda z= 12 are parallel?

    The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 is (in units)