JEE Main & Advanced Mathematics Straight Line Question Bank Self Evaluation Test - Straight Lines & Pair Striaght Lines

  • question_answer
    What is the radius of the circle passing through the point \[(2,4)\] and having centre at the intersection of the lines \[x-y=4\] and \[2x+3y+7=0?\]

    A) 3 units

    B) 5 units

    C) \[3\sqrt{3}\] Units

    D) \[5\sqrt{2}\] units

    Correct Answer: D

    Solution :

    [d] We have \[x-y=4\And 2x+3y+7=0\] On solving, we get \[x=1\,\,\And \,\,y=-\,3\] (These are coordinates of centre of the circle) \[\Rightarrow \,\,\,radius\,\,=\sqrt{{{(2-1)}^{2}}+{{(4+3)}^{2}}}=5\sqrt{2}\]


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