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

  • question_answer
    Find the number of solutions of the equations \[x+\frac{1}{y}=2\]and\[2xy-3y=-2\].

    A)  0                                            

    B)  1

    C)  2                            

    D)         Infinitely many

    Correct Answer: A

    Solution :

     Given equations become                 \[p(-1)={{(-1)}^{2}}+3(-1)-2=(-4)\]                           .....(i) and \[p(-1)=-4\] \[({{m}^{2}}+9){{x}^{2}}+13x+6m\]         \[\alpha \]                           ??(2) Let \[\alpha \]. then the equations are \['x'\]and \[1441\times x=5040\times 12\]. Here, \[\Rightarrow \]and\[x=\frac{5040\times 12}{144}=420\] \[219\times =657\]          \[3\times =219\] \[\text{1}0\text{32 }=\text{ 4}0\text{8 }\times \text{ 2 }+\text{ 216}\]   \[\text{4}0\text{8 }=\text{ 216 }\times \text{ 1 }+\text{ 192}\] Hence, the equations do not have any solution.


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