Manipal Engineering Manipal Engineering Solved Paper-2009

  • question_answer
    The area (in square unit) of the circle which touches the lines\[4x+3y=15\]and\[4x+3y=5\] is

    A) \[4\pi \]                               

    B)        \[3\pi \]

    C) \[2\pi \]                               

    D)        \[\pi \]

    Correct Answer: D

    Solution :

    Since, given lines are parallel. \[\therefore \]  \[d=\frac{15-5}{\sqrt{{{4}^{2}}+{{3}^{2}}}}=\frac{10}{5}\] \[\Rightarrow \]               \[d=2=\]diameter of the circle \[\therefore \]Radius of circle\[=1\] \[\therefore \]Area of circle\[=\pi {{r}^{2}}=\pi \]sq unit


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