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JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    The point of intersection of the lines \[\frac{x}{a}+\frac{y}{b}=1\] and \[\frac{x}{b}+\frac{y}{a}=1\] lies on the line

    A)            \[x-y=0\]                                  

    B)            \[(x+y)(a+b)=2ab\]

    C)            \[(lx+my)(a+b)=(l+m)\ ab\] 

    D)            All of these

    Correct Answer: D

    Solution :

               Intersection point of the line is \[\left( \frac{ab}{a+b},\frac{ab}{a+b} \right)\], which is satisfying all the equations given in options (a),  (b) and (c). Hence (d) is correct.


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