JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Self Evaluation Test - Three Dimensional Geometry

  • question_answer
    Under which one of the following condition will the two planes \[x+y+z=7\] and\[\alpha x+\beta y+\gamma z=3\], be parallel (but not coincident)?

    A) \[\alpha =\beta =\gamma =1only\]

    B) \[\alpha =\beta =\gamma =\frac{3}{7}only\]

    C) \[\alpha =\beta =\gamma \]

    D) None of the above

    Correct Answer: C

    Solution :

    [c] Given equation of planes are: \[x+y+z=7\] and \[\alpha x+\beta y+\gamma z=3\] For these planes to be parallel, coefficients of x, y and z should be same i.e. \[\Rightarrow \alpha =\beta =\gamma \]


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