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JEE Main & Advanced Mathematics Straight Line Question Bank Foot of perpendicular, Transformation, Pedal points Image of a point

  • question_answer
    The point (4, 1)undergoes the following two successive transformation (i)        Reflection about the line \[y=x\] (ii)       Translation through a distance 2 units along the positive x-axis Then the final coordinates of the point are [MNR 1987; UPSEAT 2000]

    A)            (4, 3)                                         

    B)            (3, 4)

    C)            (1, 4)                                         

    D)            \[\left( \frac{7}{2},\frac{7}{2} \right)\]

    Correct Answer: B

    Solution :

               After first transformation, the point will be (1, 4) and therefore, final point is \[(1+2,\,4)=(3,\,4)\] .


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