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JEE Main & Advanced Sample Paper JEE Main Sample Paper-2

  • question_answer
    If the square ABCD where A(0,0), B(2,0), C(2,2) and D(0, 2) undergoes the following three transformations in that order, for all the four vertices (i) \[(x,\,y)\to \,(y,\,x)\]               (ii) \[(x,\,y)\to (x+3y,\,y)\] (iii) \[(x,y)\to \,\left( \frac{x-y}{2},\,\frac{x+y}{2} \right)\] then the final figure is:

    A)  square                

    B)  parallelogram

    C)  rhombus            

    D)  None of these

    Correct Answer: B

    Solution :

    \[A(0,0)\xrightarrow{i}(0,0)\xrightarrow{ii}(0,\,0)\xrightarrow{iii}\,(0,\,0)\] \[B(2,0)\xrightarrow{i}(0,2)\xrightarrow{ii}(6,\,2)\xrightarrow{iii}\,(2,\,4)\] \[C(2,2)\xrightarrow{i}(2,2)\xrightarrow{ii}(8,\,2)\xrightarrow{iii}\,(3,\,5)\] \[D(0,2)\xrightarrow{i}(2,0)\xrightarrow{ii}(2,\,0)\xrightarrow{iii}\,(1,\,1)\] AB is parallel and equal to CD, neither AB is perpendicular to BC, nor AB is equal to BC.


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