The equation of line through the intersection of given lines is (3x−4y+1)+λ(5x+y−1)‌‌=0    (3+5λ)x+(λ−4)y‌‌=(λ−1)       ‌
x
λ−1
3+5λ
+‌
y
λ−1
λ+4
=1 From the given information, ‌
λ−1
3+5λ
=‌
λ−1
λ−4
‌ and ‌λ≠1 Then λ−4‌‌=5λ+3  4λ‌‌=−7  λ‌‌=−‌