• # 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

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.