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

  • question_answer
    If we reduce \[3x+3y+7=0\] to the form \[x\cos \alpha +y\sin \alpha =p,\] then the value of p is            [MP PET 2001]

    A)            \[\frac{7}{2\sqrt{3}}\]            

    B)            \[\frac{7}{3}\]

    C)            \[\frac{3\sqrt{7}}{2}\]            

    D)            \[\frac{7}{3\sqrt{2}}\]

    Correct Answer: D

    Solution :

               Given form is \[3x+3y+7=0\]                    Þ \[\frac{3}{\sqrt{{{3}^{2}}+{{3}^{2}}}}x+\frac{3}{\sqrt{{{3}^{2}}+{{3}^{2}}}}y+7=0\]                    Þ \[\frac{3}{3\sqrt{2}}x+\frac{3}{3\sqrt{2}}y=\frac{-7}{3\sqrt{2}}\],  \ \[p=\left| \frac{-7}{3\sqrt{2}} \right|\,=\frac{7}{3\sqrt{2}}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner