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

  • question_answer Which of the following linear equation coincide with the line\[4x+5y=15\]?

    A)  \[8x+10y=25\]

    B)  \[2x+3y=7\]

    C)  \[7x+14y=17\]

    D)  \[12x+15y=45\]

    Correct Answer: D

    Solution :

    For coincident lines, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}\] i.e.,  \[\frac{4}{12}=\frac{5}{15}=\frac{15}{45}\]   or  \[\frac{1}{3}=\frac{1}{3}=\frac{1}{3}\]

adversite


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