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

  • question_answer
    The equation of the line which cuts off the intercepts \[2a\sec \theta \] and \[2a\,\text{cosec}\,\theta \] on the axes is

    A)            \[x\sin \theta +y\cos \theta -2a=0\]                                           

    B)            \[x\cos \theta +y\sin \theta -2a=0\]                                           

    C)            \[x\sec \theta +y\,\text{cosec}\theta -2a=0\]                            

    D)            \[x\,\text{cosec}\theta +y\sec \theta -2a=0\]

    Correct Answer: B

    Solution :

               Using the intercept form of the line                    \[\frac{x}{2a\sec \theta }+\frac{y}{2a\text{cosec}\theta }=1\Rightarrow x\cos \theta +y\sin \theta =2a\].


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