Question -
Answer -
Given:
Lines 4x – 3y = 0 and2x – 5y + 3 = 0 and parallel to 4x + 5 y + 6 = 0
The equation of thestraight line passing through the points of intersection of 4x − 3y =0 and 2x − 5y + 3 = 0 is given below:
4x − 3y+ λ (2x − 5y + 3) = 0
(4 + 2λ)x +(− 3 − 5λ)y + 3λ = 0
The required line isparallel to 4x + 5y + 6 = 0 or, y = -4x/5 – 6/5
λ = -16/15
∴ The required equationis
28x + 35y – 48 = 0