JEE Main & Advanced Mathematics Straight Line Equation of Straight Line Through a Given Point Making a Given Angle With a Given Line

Equation of Straight Line Through a Given Point Making a Given Angle With a Given Line

Category : JEE Main & Advanced

The equation of the straight lines which pass through a given point \[({{x}_{1}},\,{{y}_{1}})\] and make a given angle \[\alpha \] with given straight line \[y=mx+c\] are, \[y-{{y}_{1}}=\frac{m\,\pm \,\tan \alpha }{1\,\,\mp m\tan \alpha }(x-{{x}_{1}})\].

Angle Between two Non-parallel Lines

Equations of the Bisectors of The Angles Between two Straight Lines

Other Topics

Definition
Slope (Gradient) of a Line
Equations of Straight Line in Different Forms
Equation of Parallel and Perpendicular Lines to a Given Line
General Equation of a Straight Line and its Transformation in Standard Forms
Point of Intersection of Two Lines
General Equation of Lines Through the Intersection of Two Given Lines
Angle Between two Non-parallel Lines
Equation of Straight Line Through a Given Point Making a Given Angle With a Given Line
Equations of the Bisectors of The Angles Between two Straight Lines
Length of Perpendicular
Position of a Point with Respect to a Line
Position of Two Points with Respect to a Line
Concurrent Lines
Reflection on The Surface
Image of a Point in Different Cases