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JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    Consider the line \[\frac{x-3}{3}=\frac{y-2}{1}=\frac{z-1}{0}\], then which of the following statement is INCORRECT?

    A)  The line is parallel to \[xy\] plane.

    B)  The line is perpendicular to z axis.

    C)  The line passes through point (6, 3, 1)

    D)  The line intersect the plane \[x-3y+z=3\].

    Correct Answer: D

    Solution :

    It's direction ratio is < 3,1,0> \[\therefore \] Option (1) and (2) are correct. Any point on the line is \[<3+3\lambda ,\,\,2+\lambda ,\,1>\,\] Hence, for \[\lambda =1,\] Option (3) is correct. Line and plane are parallel to each other. Hence, Option (4) is incorrect.


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