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”
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.
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.
Answer:
is there no diagram in this question