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Parallel and Perpendicular Lines - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Line parallel and perpendicular to a given line is considered one the most difficult concept.
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24 Questions around this concept.
Solve by difficulty
If equation represent the same lines then the values of
and
are:
Concepts Covered - 1
Line parallel and perpendicular to a given line
Line parallel and perpendicular to a given line
1. The equation of the line parallel to ax + by + c = 0 is given as ax + by + λ = 0, where λ is some constant.
Equation of the given line is ax + by + c = 0
Its slope is (-a/b)
So, any equation of line parallel to ax + by + c = 0 is
2. The equation of the line perpendicular to ax + by + c = 0 is given as bx - ay + λ = 0, where λ is some constant.
Equation of the given line is ax + by + c = 0
Its slope is (-a/b)
Slope of perpendicular line will be (b/a)
So, any equation of line perpendicular to ax + by + c = 0 is
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