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    Question

    The length of a line segment A, B is 10 units. The

    coordinates of point A are(2,3) and the value of ordinate of point B is 5. Then find the value of abscissa of point B.
    A 4 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    D = 10 unit Co-ordinates of point A = (2,3)   Co-ordinates of point B = (x,5) Let the abscissa of point B is x - Length of segment A, B    D =  √( x₂-x₁  )² +(y₂-y₁ )²   10 = √((x-2)²+(5+3)²)squaring both side….  (10) ² = (x-2) ² + (8) ² 100 = (X-2) ² + 64 (X-2) ² = 36 X-2 = ± 6……. X = 8, X = -4

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