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

  • question_answer
    If the points A (4, 3) and B (x, S) are on the circle with centre O (2, 3), then the value of x is

    A) 0

    B) 1

    C) 2

    D) 3

    Correct Answer: C

    Solution :

    Since, A and 5 lie on the circle having centre O. OA=OB
    \[\Rightarrow \,\,\sqrt{{{\left( 4-2 \right)}^{2}}+{{\left( 3-3 \right)}^{2}}}=\sqrt{{{\left( x-2 \right)}^{2}}+{{\left( 5-3 \right)}^{2}}}\]
    \[\Rightarrow \,\,\,\,2=\sqrt{{{\left( x-2 \right)}^{2}}+4}\]
    \[\Rightarrow \,\,\,4={{\left( x-2 \right)}^{2}}+4\]
    \[\Rightarrow \,\,\,\,{{\left( x-2 \right)}^{2}}=0\]
    \[\Rightarrow \,\,\,\,x=2\]


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