question_answer

The distance of the midpoint of line joining two points (4, 0) and (0, 4) from the centre of the circle\[{{x}^{2}}+{{y}^{2}}=16\]is

A)  \[\sqrt{2}\]                                       

B)  \[2\sqrt{2}\]

C)  \[3\sqrt{2}\]                     

D)         \[2\sqrt{3}\]

E)  \[\sqrt{3}\]

Correct Answer: B

Solution :

The midpoint of (4, 0) and (0, 4) is Required distance