JEE Main & Advanced Sample Paper JEE Main Sample Paper-29

  • question_answer
    The circle passing through \[(1,-2)\] and touching the x-axis at \[(3,0)\] also passes through the point

    A) \[(-5,2)\]                             

    B) \[(2,-5)\]

    C) \[(5,-2)\]                             

    D) \[(-2,5)\]

    Correct Answer: C

    Solution :

    \[\therefore \]Equation of required circle                 is \[{{(x-3)}^{2}}+{{y}^{2}}+\lambda y=0\]                 as, \[(1,\,\,-2)\] satisfy it, so \[\Rightarrow \,2(\sin \theta \,+\cos \theta )\,.(\sin \theta -\cos \theta )=0\] \[\therefore \]The equation of circle is \[{{x}^{2}}+{{y}^{2}}-6x+4y+9=0\] Clearly,\[(5,\,\,-~2)\] satisfy it.

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