Question

Which of these points lie on the circumference of the circle X^2 + Y^2 = 25? Circle your answer. (-3, 4) (6.25, 6.25) (9, 16) (-1, 12)​

Answer 1

(-3, 4)

Explanation:

The answer to this question is the numbers that are included in the Pythagorean numbers are 3, 4, 5. So, the right option is (-3, 4)

x² + y² = 25

-3² + 4² = 25

9 + 16 = 25

25= 25

(RIGHT) ✔

Answer 2

• A. (-2, 4)

Explanation:

Given the circle:

• 
  `x^2+y^2=25`

or

• 
  `x^2+y^2=5^2`

According to the equation, any point with one of the coordinate > 5 lies outside of the circle since the radius is 5 units.

The points 2, 3 and 4 have at least one of the coordinates greater than 5.

Let's verify the point 1:

• 
  `(-3)^2+4^2=9+16=25\\`
• 
  `25=25`