Answer:
B
Step-by-step explanation:
Remark
you are told about the radius given that the center is at (0,0) and a point (3,5) lies on the circumference.
The radius = sqrt( (3 - 0)^2 + (5 - 0)^2 )
The radius = sqrt(9 + 25)
The radius = sqrt(34)
Formula
x^2 + y^2 = radius^2 for a circle.
x^2 + y^2 = (sqrt(34))^2
x^2 + y^2 = 34
Solution
The general method is to find x = something, y = something and when they are squared, they equal 33.
Try A
x = 2
y = 6
x^2 + y^2 = 34
2^2 + 6^2 = 34
4 + 36 = 34
40 = 34 The statement is not true and A is not the answer.
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C is also not the answer because x = 6 lies outside the circle just as choice A does.
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The answer is B
x = 1
y = sqrt(33)
x^2 + y^2 = 34
1^2 + sqrt(33)^2 = 34
1 + 33 = 34.
