In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 0) lies inside the circle and the point (2, -3) lies outside the circle. If the radius r of the circle r is an integer then r= Choose the correct choice from the following options.
A) 6 B) 5 C) 4 D) 3 E) 2
Can be solved without much calculations.   You are given that (-2,-3) is the center of the circle. Point (2,-3) lies inside the circle ---&gt; the radius is lesser than distance of (-2,-3) from (2,-3) ---&gt; lesser than 5 units but the radius will also be greater than the distance of (-2,-3) from (-2,0) ----&gt; greater than 3 units.   Thus the radius is &gt;3 but &lt;5and as it is an integer, the only possible value of radius = 4 units.   4 is the correct answer.
<result>C</result>
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 0) lies inside the circle and the point (2, -3) lies outside the circle. If the radius r of the circle r is an integer then r=