Cho điểm $M$ nằm ngoài mặt cầu $S\left( {O;R} \right)$. Khẳng định nào sau đây là đúng?

A. ${x^2} + {y^2} + {z^2} - 2x = 0.$

B. ${x^2} + {y^2} - {z^2} + 2x - y + 1 = 0.$

C. $2{x^2} + {y^2} = {\left( {x + y} \right)^2} - {z^2} + 2x + 1.$

D. ${\left( {x + y} \right)^2} = 2xy - {z^2} - 1.$

A. ${x^2} + {y^2} + {z^2} + 4x - 2y + 2z = 0.$

B. ${x^2} + {y^2} + {z^2} - 4x - 2y + 2z = 0.$

C. ${x^2} + {y^2} + {z^2} - 2x - y + z - 6 = 0.$

D. ${x^2} + {y^2} + {z^2} - 4x - 2y + 2z + 6 = 0.$

A. ${\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 3} \right)^2} = \frac{{\sqrt {213} }}{3}.$

B. ${\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 3} \right)^2} = \frac{{71}}{3}.$

C. ${\left( {x + 1} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 3} \right)^2} = \frac{{\sqrt {213} }}{3}.$

D. ${\left( {x + 1} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 3} \right)^2} = \frac{{71}}{3}.$

A. $\left( {9;18; - 27} \right).$

B. $\left( { - 3; - 6;9} \right).$

C. $\left( {3;6; - 9} \right).$

D. $\left( { - 9; - 18;27} \right).$

A. ${x^2} + {y^2} + {z^2} + 2x + 2y - 2z + 4 = 0.$

B. ${x^2} + {y^2} + {z^2} + 4x - 2y + 2z + 6 = 0.$

C. ${x^2} + {y^2} + {z^2} + 2x - 6y + 4z + 14 = 0.$

D. ${x^2} + {y^2} + {z^2} + 8x - 6y + 2z - 10 = 0.$

A. ${\left( {x - {x_0}} \right)^2} + {\left( {y - {y_0}} \right)^2} + {\left( {z - {z_0}} \right)^2} = {R^2}.$

B. $\left( {x - {x_0}} \right) + \left( {y - {y_0}} \right) + \left( {z - {z_0}} \right) = R.$

C. $\left( {x - {x_0}} \right) + \left( {y - {y_0}} \right) + \left( {z - {z_0}} \right) = {R^2}.$

D. ${\left( {x - {x_0}} \right)^2} - {\left( {y - {y_0}} \right)^2} - {\left( {z - {z_0}} \right)^2} = {R^2}.$

A. 7.

B. 9.

C. 8.

D. 6.