Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the distance of the point (3, 5) from the line 2x + 3y – 4 = 0 measured parallel to the line x – 2y – 1 = 0.
Text Solution
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Sol.
Slope of line along AP is = 
∴ sin θ = 
, cos θ = 
Let P(h, k) is point on 2x + 3y = 4 at a distance of r from point AP (3,5)
∴ h = 3 – r cos θ = 3 – 
k = 5 – r sin θ = 5 – 
Put (h, k) in 2x + 3y = 4
6 – 
r = 
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