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  5. Pair of Linear Equations in Two Variables

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

  • question_answer
    If (p, p) is the solution of equations \[ax+by+(t-s)=0\]and \[bx+ay+(s-r)=(0\ne b)\] then, which of the following must be true?

    A)  \[2r=s+t\]                    

    B)  \[2t=r+s\]

    C)  \[2s=r+t\]        

    D)  \[r+s+t=0\]

    Correct Answer: C

    Solution :

    (c): Put (p, p) in both eqns. \[\Rightarrow ap+bp=(s-t)\] and, \[bp+ap=(r-s)\Rightarrow (s-t)=(r-s)\Rightarrow 2s=r+t\]    


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