JEE Main & Advanced AIEEE Solved Paper-2010

  • question_answer
    The circle\[{{x}^{2}}+{{y}^{2}}=4x+8y+5\]intersects the line\[3x4y=m\]at two distinct points if       AIEEE  Solved  Paper-2010

    A) \[85<m<35\]     

    B) \[35<m<15\]

    C)        \[15<m<65\]

    D)        \[35<m<85\]

    Correct Answer: B

    Solution :

    \[{{x}^{2}}+{{y}^{2}}4x8y5=0\] centre = (2, 4) and radius = 5 \[P<r\]for if line is intersecting the circle at two points \[P=\left| \frac{3(2)-4(4)-m}{\sqrt{{{3}^{2}}+{{4}^{2}}}} \right|<5\] \[|-10-m|<25\] \[-35<m<15\]

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