3. Find the value of p for which the lines represented by the equations px + 3y = p – 3 and
12x + py = p are parallel

3. Find the value of p for which the lines represented by the equations px + 3y = p – 3 and
12x + py = p are parallel

Give full solution ​

2 thoughts on “3. Find the value of p for which the lines represented by the equations px + 3y = p – 3 and<br />12x + py = p are parallel <br”

  1. Answer:

    Given pair of linear equations is

    3x – y – 5 = 0 …

    (i) 6x – 2y – p = 0 …

    (ii) On comparing with ax + by + c = 0 we get We get, a1 = 3,

    b1 = – 1,

    c1 = – 5;

    a2 = 6,

    b2 = – 2,

    c2 = – p;

    a1 /a2 = 3/6 = ½

    b1 /b2 = ½

    c1 /c2 = 5/p

    Since, the lines represented by these equations are parallel, then a1/a2 = b1/b2 ≠ c1/c2 Taking last two parts, we get ½ ≠ 5/p So, p ≠ 10 Hence, the given pair of linear equations are parallel for all real values of p except 10.

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