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  3. 10th Class
  4. Mathematics
  5. Coordinate Geometry

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

  • question_answer
    If the distance between \[A(k,3)\] and \[B(2,3)\] is 5, then the value of k is:

    A) 5

    B) 6

    C) 7

    D) 8

    Correct Answer: C

    Solution :

    [c] Given,\[AB=\sqrt{{{(k-2)}^{2}}+{{(3-3)}^{2}}}=5\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\sqrt{{{(k-2)}^{2}}}=5\]
    Squaring both sides, we have \[{{(k-2)}^{2}}=25\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k-2=\pm 5\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k=2\pm 5\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k=7\] or \[-3\]


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