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  5. Coordinate Geometry

9th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    If the points (2K, 3K), (K, 2K) and (1, 2) are collinear, then K

    A)  \[-1\]                           

    B)  1

    C)  \[\frac{1}{2}\]                         

    D)  \[\frac{1}{3}\]

    Correct Answer: B

    Solution :

    (b): \[2K\left( 2K-2 \right)+K\left( 2-3K \right)+1\left( 3K-2K \right)=0\] \[\Rightarrow \]\[4{{K}^{2}}-4K+2k-3{{K}^{2}}+3K-2K=0\] \[\Rightarrow \]\[{{K}^{2}}-K=0\] \[\Rightarrow \]\[K\left( K-1=0 \right)\] \[\Rightarrow \]\[K=0,1\]       


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