Mathematics · essential
Intersection point of two lines by solving equations for JEE
Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
Formula
\(a_1x+b_1y+c_1=0,\ a_2x+b_2y+c_2=0\Rightarrow \text{solve simultaneously for }(x,y)\)
Variables: \(a_i,b_i,c_i\) are constants.
Conditions: Unique intersection if \(a_1b_2-a_2b_1\ne 0\).
Point of intersection, triangle vertices, concurrency.