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10th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    If the points (0, 4) (4, 0) and (5, p) are collinear, then value of p is

    A)  - 1                           

    B)         7

    C)  6                            

    D)         4

    Correct Answer: A

    Solution :

     The given points \[(0,4),\,(4,0)\] and \[(5,p)\] are collinear, if \[\frac{1}{2}[{{x}_{1}}({{y}_{2}}-{{y}_{3}})+{{x}_{2}}({{y}_{3}}-{{y}_{1}})+{{x}_{3}}({{y}_{1}}-{{y}_{2}})]=0\] or            \[\frac{1}{2}[0\,(0-p)+4(p-4)+5(4-0)]=0\] or            \[4p-16+20=0\] \[\therefore \]  \[p=-1\]


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