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Find the distance between the parallel lines `3x 4y + 7 = 0`and`3x 4y + 5 = 0`.

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To find the distance between the two parallel lines given by the equations \(3x + 4y + 7 = 0\) and \(3x + 4y + 5 = 0\), we can follow these steps: ### Step 1: Identify the coefficients The equations of the lines can be rewritten in the form \(Ax + By + C = 0\): - For the first line \(3x + 4y + 7 = 0\), we have \(A = 3\), \(B = 4\), and \(C_1 = 7\). - For the second line \(3x + 4y + 5 = 0\), we have \(C_2 = 5\). ### Step 2: Use the distance formula for parallel lines ...
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Knowledge Check

  • Find the distance between the parallel lines 3x+4y-7=0 and 3x+4y+8=0 .

    A
    `1` units.
    B
    `2` units.
    C
    `3` units.
    D
    `4` units.
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    `(5)/(2)` units
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    3 units
    C
    `(7)/(2)` units
    D
    4 units
  • Find the distance between two parallel lines 5x + 12y - 30 = 0 and 5x + 12y - 4 = 0

    A
    3
    B
    7
    C
    44318
    D
    2
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