10th Class Mathematics Coordinate Geometry Question Bank MCQs - Coordinate Geometry

  • question_answer
    The radius of the circle whose end points of diameter are (24, 1) and (2, 23) is

    A) \[22\sqrt{2}\]units

    B) \[23\sqrt{2}\]units

    C) \[11\sqrt{2}\] units

    D) None of these

    Correct Answer: C

    Solution :

    The distance between ends points of the diameter gives the value of the diameter. Here, the points are (24, 1) and (2, 23)
    \[\therefore \,\,\,d=\sqrt{{{\left( 2-24 \right)}^{2}}+{{\left( 23-1 \right)}^{2}}}\]
                \[=\sqrt{{{\left( -22 \right)}^{2}}+{{\left( 22 \right)}^{2}}}\]
    \[=\sqrt{{{\left( 22 \right)}^{2}}\left( 1+1 \right)}\]
    \[=22\sqrt{2}\] units
    \[\therefore\] Radius Of a circle \[r=\frac{d}{2}=\frac{22\sqrt{2}}{2}\]
                \[=11\sqrt{2}\]units
     


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