MATH SOLVE

3 months ago

Q:
# Which point does not lie on the circle centered at (3, 2) with radius 5?A(0,6)B(3,-3)C(-2,2)D(3,0)

Accepted Solution

A:

Answer:DStep-by-step explanation:The equation of a circle in standard form is (x - h)² + (y - k)² = r²where (h, k) are the coordinates of the centre and r is the radiushere (h, k) = (3, 2) and r = 5, hence(x - 3)² + (y - 2)² = 25 ← equation of circleIf an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.A(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circleB(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circleC(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circleD(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle