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

  • question_answer
    The area of a trapezium is \[\text{14}00\text{ c}{{\text{m}}^{\text{2}}}\]. Its altitude is 50 cm. Find the two bases, if the number of cms in each base is an integer divisible by 9. The number of solution to this problem is:

    A) one

    B) two

    C) three

    D) None of these

    Correct Answer: D

    Solution :

    [d] Let bases are \[9x\] and\[9y\].
    Area \[=\frac{1}{2}\times 50\times (9x+9y)=1400\]
                \[9(x+y)=\frac{1400}{25}=56\]
    Which is not a multiple of 9.


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