Maths-
SAT
Easy
Question
Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?
- (x − 5)2 + (y + 5)2 = 10
- (x − 5)2 + (y + 5)2 = 100
- (x − 10)2 + (y − 10)2 = 100
The correct answer is:
The equation of circle is (x - a)2 + (y - b)2 = r2,
The point (a, b) is the coordinates of the center of the circle
radius r = 10, the equation passes passes through the origin so when x = 0, y = 0
(0 - a)2 + (0 - b)2 = 102
a2 + b2 = 102
A) r2 = 100; so it is wrong
B) (0 - 5)2 + (0 + 5)2 = 52 + 52 = 50 wrong
C) (0 -10)2 + (0 - 10)2 = 102 + 102
= 2 × 102 wrong
D) 
So option D is correct.
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