RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    The focus of parabola\[{{y}^{2}}=4y-4x\]is

    A)  (0, 2)            

    B)  (1, 2)

    C)  (2, 0)            

    D)  (2, 1)

    Correct Answer: A

    Solution :

     Given, equation is \[{{y}^{2}}=4y-4x\] \[\Rightarrow \] \[{{y}^{2}}-4y=-4x\] \[\Rightarrow \] \[{{y}^{2}}-4y+4=-4x+4\] \[\Rightarrow \] \[{{(y-2)}^{2}}=-4(x-1)\] \[\therefore \] Vertex is (1, 2) and focus is (0, 2).


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