In the Euclidean 3-dimensional space with a fixed cartesian system, consider the circle C:x +y + z- 2x-2y +2z – 13 = x + y – z = 0. Which of the following statements is true? O (a) The center of C is (0, 1, 1). O (b) The center of C is (1, 0, 1) O (C) The center of C is (0, 0, 0) (d) The point (0, 0, 0) belongs to C

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In the Euclidean 3-dimensional space with a fixed cartesian system, consider the circle
C: x + y? + z - 2x- 2y +2z – 13 = x + y – z = 0.
Which of the following statements is true?
O (a) The center of C is (0, 1, 1)
(b) The center of C is (1, 0, 1)
O (c) The center of C is (0, 0, 0).
(d) The point (0, 0,0) belongs toC
Transcribed Image Text:In the Euclidean 3-dimensional space with a fixed cartesian system, consider the circle C: x + y? + z - 2x- 2y +2z – 13 = x + y – z = 0. Which of the following statements is true? O (a) The center of C is (0, 1, 1) (b) The center of C is (1, 0, 1) O (c) The center of C is (0, 0, 0). (d) The point (0, 0,0) belongs toC
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