RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    The equation of tangent to the parabola \[{{y}^{2}}=4x\]at point (1, 2) is

    A)  \[x-y+1=0\]     

    B)  \[x+y+1=0\]

    C)  \[x+y-1=0\]     

    D)  \[x-y-1=0\]

    Correct Answer: A

    Solution :

     Equation of tangent at (1, 2) is \[2y=2(x+1)\] \[[\because y{{y}_{1}}=2(x+{{x}_{1}})]\] \[\Rightarrow \] \[y=x+1\] \[\Rightarrow \] \[x-y+1=0\]


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