JEE Main & Advanced Sample Paper JEE Main Sample Paper-13

  • question_answer
    The distance of the point, where the line \[\frac{x+1}{2}=\frac{y+1}{3}=\frac{z+1}{4}\] meets the plane \[x+2y+3z=14\]  from the origin, is

    A)  \[\sqrt{15}\]                     

    B)  \[\sqrt{14}\]

    C)  7                                            

    D)  \[\sqrt{7}\]

    Correct Answer: B

    Solution :

     \[=-\frac{2}{3}\]              (say) \[(V-20)=-\frac{2}{3}\,(S-0)\] \[\Rightarrow \] \[v=20-\frac{2}{3}\,S\] \[S=15\] \[{{\left. v=\frac{ds}{dt} \right|}_{S=15\,m}}{{\left. =-\frac{2}{3}\,\frac{dS}{dt} \right|}_{S=15\,m}}=-\frac{20}{3}\,m{{s}^{-2}}\]           \[=\frac{dv}{dt}=-\frac{2}{3}\,\frac{dS}{dt}\] \[\therefore \]  \[{{\left. \frac{dV}{dt} \right|}_{S=15\,m}}{{\left. =-\frac{2}{3}\frac{dS}{dt} \right|}_{S=15\,m}}=-\frac{20}{3}\,m{{s}^{-2}}\] So, the point on the place is (1, 2, 3) \[=(2mv)\] The distance of P(1, 2, 3) from origin is \[=(2mv)\,(nt)\]


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