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

  • question_answer
    If the points (a, 0), (0, b) and (1, 1) are collinear, which of the following is true?

    A)  \[\frac{1}{a}+\frac{1}{b}=2\]             

    B)  \[\frac{1}{a}-\frac{1}{b}=1\]

    C)  \[\frac{1}{a}-\frac{1}{b}=2\]               

    D)  \[\frac{1}{a}+\frac{1}{b}=1\]

    Correct Answer: D

    Solution :

    (d): \[a\left( b-1 \right)+0\left( 1-0 \right)+1\left( 0-b \right)=0\]; \[\Rightarrow \]\[ab-a+(-b)=0\]; \[\Rightarrow \]\[ab=a+b\]; \[1=\frac{1}{a}+\frac{1}{b}\]


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