X-square-2xy + y-square-8x + 8y + 16 grouping decomposition

X-square-2xy + y-square-8x + 8y + 16 grouping decomposition

X square - 2XY + y square - 8x + 8y + 16
=(x-y)^2-8(x-y)+16
=(x-y-4)^2

The maximum distance between the point on the circle x2 + y2 = 16 and the line X-Y = 3 is ()
A. 322B. 4−322C. 4+322D. 8

The distance from the center of the circle (0, 0) to the straight line is & nbsp; | 0 − 0 − 3 | 2 = 322, and the radius of the circle is equal to 4, so the maximum distance from the point on the circle x2 + y2 = 16 to the straight line X-Y = 3 is & nbsp; 4 + 322, so select C

(2014. Changan District three mode) circle: the maximum distance from point to straight line x-y=2 on x2+y2-2x-2y+1=0 is ()
A. 2B. 1+2C. 1+22D. 1+22

The circle x2 + y2-2x-2y + 1 = 0 can be reduced to the standard form: (x-1) 2 + (Y-1) 2 = 1, the center of the circle is (1,1), the radius is 1, the distance from the center of the circle (1,1) to the straight line X-Y = 2 D = 2, then the maximum distance is 1 + 2, so B

Let a = {x | X-2 | be less than or equal to 2, X belongs to R}, B = {y | y = - X's Square, - 1 is less than or equal to x, less than or equal to 2}, then what is the complement of (a intersection b) in R?

A:|x-2|