Circle Q is centered at the origin. If the radius of circle Q is 6, which of the following statements is TRUE?

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Circle Q is centered at the origin If the radius of circle Q is 6 which of the following statements is TRUE gt look at attachments to understand the question an class=
Circle Q is centered at the origin If the radius of circle Q is 6 which of the following statements is TRUE gt look at attachments to understand the question an class=

Respuesta :

Only the first statement is true.

For the given circle it yields:

1. If the distance from the origin to a given point is equal to 6, then that point lies on circle Q.

2. If the distance from the origin to a given point is less than 6, then that point lies inside circle Q.

3. If the distance from the origin to a given point is greater than 6, then that point lies outside circle Q.

Hence, only the first statement is true, all the other statements are false.