General Equation of Lines Through the Intersection of Two Given Lines
Category : JEE Main & Advanced
If equation of two lines \[P={{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\] and \[Q={{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\], then the equation of the lines passing through the point of intersection of these lines is \[P+\lambda \,Q=0\] or \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}+\]\[\lambda ({{a}_{2}}x+{{b}_{2}}y+{{c}_{2}})=0\]. Value of \[\lambda \] is obtained with the help of the additional information given in the problem.
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