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

  • question_answer
    The intercept cut off from y?axis is twice that from x?axis by the line and line is passes through (1, 2) then its equation is    [AMU 1972; RPET 1985]

    A)            \[2x+y=4\]                              

    B)            \[2x+y+4=0\]

    C)            \[2x-y=4\]                                

    D)            \[2x-y+4=0\]

    Correct Answer: A

    Solution :

               Let the intercept be\[a\,\text{ and}\,2a\] , then the equation of line is \[\frac{x}{a}+\frac{y}{2a}=1\], but it also passes through (1, 2), therefore \[a=2\].                    Hence the required equation is\[2x+y=4\].


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