Question

Which one do I pick, I am not sure

Answer 1

9514 1404 393

Answer:

  (c)  not on the circle

Step-by-step explanation:

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the equation of the circle, we're interested in the square of the distance between the center and the point on the circle.

  d² = r² = (x2 -x1)² +(y2 -y1)²

  r² = (3 -5)² +(2 -4)² = 4 + 4 = 8

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We can compare this to the square of the distance to the point (9, -1).

  d² = (9 -5)² +(-1 -4)² = 16 +25 = 41

The radius and the distance to (9, -1) are clearly different, so the point does not lie on the circle.