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10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Linear Equation in two Variables

  • question_answer
    What is the number of solutions of the pair of linear equations \[4p-6q+18=0\] and \[2p-3q+9=0\]?

    A)  0                                

    B)  1             

    C)  2                                

    D)  Infinitely many

    Correct Answer: D

    Solution :

    (d): \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{4}{2}=2,\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{-6}{-3}=2,\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{18}{9}=2\] \[\Rightarrow \frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\] \[\therefore \]Coincident lines \[\Rightarrow \]Infinitely many solutions.


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