Distance between two parallel lines

Straight Line of Class 11

Distance Between Two Parallel Lines

Perpendicular distance between the lines ax + by + c = 0 (1)

and ax + by + d = 0 is Distance between two parallel lines (2)

Two Straight Lines Equally Inclined To A Straight Line

If two straight lines with slope m1 and m2 are equally inclined to a straight line of slope m then

Distance between two parallel lines = .

Equation of Straight Lines through (h, k) making an angle α with the line

y = mx + c are

y − k = tan(θ − α) (x −h) and

y − k = tan(θ + α) (x −h) where tanθ = m.

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