JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    The straight line passes through the point of inter -section of the straight lines \[x+2y-10=0\] and \[2x+y+5=0,\] is   [IIT 1983]

    A)            \[5x-4y=0\]                              

    B)            \[5x+4y=0\]                            

    C)            \[4x-5y=0\]                              

    D)            \[4x+5y=0\]

    Correct Answer: B

    Solution :

               From option B,                     \[\left| \text{ }\begin{matrix}    1 & \,\,2 & -10  \\    2 & \,1 & \,\,5  \\    5 & 4 & \,\,0  \\ \end{matrix}\text{ } \right|=1\text{ }(0-20)-2\text{ }(-25)-10\text{ }(3)=0\]                    Hence, option (b) is the correct answer.


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