Question

Which point lies on the circle​

Answer 1

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.