Mathematics · important

Angle between two lines using coefficients for JEE

Straight line: Various forms of equations of a line, intersection of lines, angles between two lines

Formula

\(\tan\theta=\left|\dfrac{a_1b_2-a_2b_1}{a_1a_2+b_1b_2}\right|\)

Variables: Lines are \(a_1x+b_1y+c_1=0\) and \(a_2x+b_2y+c_2=0\).

Conditions: If \(a_1a_2+b_1b_2=0\), lines are perpendicular.

Angle between lines without converting to slope form.

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