There is a plane contains 32 points.all the 32 points have equal distance from point x. which of the following is true .  Choose the correct choice from the following answers
A) ll 32 points lie in circle B) the distance from x to all 32 points is less than the distance between each other c. both a and b C) both a and b D) 32 E) 242
Option 3   X must be the center of the circle and 32 points are on the circumference. So Option A is correct   Number of diagnols of a regular polygon = n(n−3)2n(n−3)2   So for a polygon of 32 sides, Number of diagnols = 464. Now the minimum distance between any two points = 2πr32=1156r2πr32=1156r   Now total lengh of all the distances from 32 points = 2πr2πr + Sum of the lengths of all the 464 diagnols.   Sum of the lengths of x to all the 32 points = 32 radius = 32r   But the 464 diagnols have 16 diameters connecting 2 oposite points connecting via center. So Sum of the lengths of distances from point to point is clearly greater than sum of the length from x to all 32 ponts. Option B is correct   Answer:both a and b
<result>C</result>
There is a plane contains 32 points.all the 32 points have equal distance from point x. which of the following is true .