question_answer

The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is :   AIEEE  Solved  Paper-2012

A) \[\frac{10}{3}\]                                    

B) \[\frac{3}{5}\]

C) \[\frac{6}{5}\]                                      

D) \[\frac{5}{3}\]

Correct Answer: A

Solution :

             Now \[{{h}^{2}}={{(1-2)}^{2}}+{{(h-3)}^{2}}\] \[0=1-6h+9\] \[6h=10\] \[h=\frac{5}{3}\] Now diameter is \[2h=\frac{10}{3}\]