For which values of p, will the lines represented by the following pair of linear equations be parallel
3x-y-5=0
6x-2y-p=0
Answers
Answer:
it is the parallel lines
Step-by-step explanation:
if p=10 the it is the coincident lines
Step-by-step explanation:
(i) Given pair of linear equations is
3x - y - 5 = 0 .....(I)
and. 6x - 2y - p = 0 .....(ii)
on comparing with ax + by + c = 0, we get
a, = 3 , b, = -1
and c, = -5 [from Eq. (I)]
a„ = 6 , b„ = -2
and. c„ = - p. [from Eq. (ii)]
since, the lines represented by these equations are parallel, then
a,/a„ = b,/b„ ≠ c,/c„
3/6 = -1/-2 ≠ -5/-p
Taking last two parts we get -1/-2 ≠ -5/-p
==> 1/2 ≠ 5/p
==> p ≠ 10
Hence, the given pair of linear equations are parallel for all real value of p expect 10 i.e.,
bro a, ke niche koma lga rhaka hai use aap ko aise likhna hai a1 a upper 1 niche lhikna hai a side mai 1 niche likhna hai thik hai