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3 years ago

Select the correct answer.

Mathematics

1 answer:

olga55 [171]3 years ago

7 0

Answer:

Step-by-step explanation:

An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center

r - a radius

r = 5; P(6; 1) ⇒ a = 6 and b = 1

therefore

(x - 6)² + (y - 1)² = 5²

check:

A) Q(1; 11)

L = (1 - 6)² + (11 - 1)² = (-5)² + 10² = 25 + 100 = 125

R = 25

L ≠ R

B) R(2; 4)

L = (2 - 6)² + (4 - 1)² = (-4)² + 3² = 16 + 9 = 25

R = 25

L = R - CORRECT

C) S(4; -4)

L = (4 - 6)² + (-4 - 1)² = (-2)² + (-5)² = 4 + 25 = 29

R = 25

L ≠ R

D) T(9; -2)

L = (9 - 6)² + (-2 - 1)² = 3² + (-3)² = 9 + 9 = 18

R = 25

L ≠ R

Answer: B) R(2; 4).

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