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

  • question_answer
    If \[x-2y+k=0\]is a median of the triangle whose vertices are at points A (- 1, 3), B (0, 4) and C (- 5, 2), then the value of k is

    A) 2

    B) 4

    C) 6

    D) 8

    Correct Answer: D

    Solution :

    Coordinate of the centroid G of \[\Delta ABC\]
                \[=\left( \frac{-1+0-5}{3},\,\frac{3+4+2}{3} \right)=\left( -2,\,3 \right)\]
     Since, G lies on the median x - 2y + k = 0.
    So, G satisfy the equation x - 2y + k = 0.
    \[\therefore \,\,\,\,\,-2-6+k=0\]
    \[\Rightarrow \,\,\,\,k=8\]
     


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