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

  • question_answer Find the number of points on X-axis which are at a distance 'c' units (c < 3) from (2, 3).

    A)  1                            

    B)         2

    C)  0                            

    D)         3

    Correct Answer: C

    Solution :

     Let the point on x-axis be \[\frac{area\,(\Delta QAO)}{area(\Delta PBO)}=\frac{{{(QO)}^{2}}}{{{(PO)}^{2}}}=\frac{49}{16}\]. Then, \[\Rightarrow \] \[area\,\Delta PBO=245\times \frac{16}{49}=80\,c{{m}^{2}}\] (For\[\frac{OA}{OC}=\frac{OB}{OD}\], 1,.... etc)                   But as it is given that c < 3, no such point exists.                          

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