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

  • question_answer
    The point on the line \[3x-4y=25\], which is nearest to the origin is given by:

    A)  (3, - 4) 

    B)  (- 3, - 4)            

    C)  (3, 4)                           

    D)  (5, - 6)

    Correct Answer: A

    Solution :

    (a): (3, - 4) satisfies 3x ? 4y = 25; Also, distance from (3, ? 4) to origin (0, 0) is \[\sqrt{{{(3-0)}^{2}}+{{(-4-0)}^{2}}}=5\], which is same as distance between line \[3x-4y-25=0\] and (0, 0).                


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