A. \((S):\,\,{(x + 1)^2} + {(y + 3)^2} + {(z + 2)^2} = 5.\)
B. \((S):\,\,{(x - 1)^2} + {(y - 3)^2} + {(z - 2)^2} = 25.\)
C. \((S):\,\,{(x - 1)^2} + {(y - 3)^2} + {(z - 2)^2} = 5.\)
D. \((S):\,\,{(x + 1)^2} + {(y + 3)^2} + {(z + 2)^2} = 25.\)
A. (P) trùng (Q)
B. (P) cắt (Q)
C. \(O(0;0;0) \in (P) \cap (Q).\)
D. (P) song song (Q)
A. \(x + 3y - 5z + 8 = 0\)
B. \(x + 3y + 5z + 8 = 0\)
C. \(x - 3y - 5z - 8 = 0\)
D. \(x - 3y + 5z - 8 = 0\)
A. \((P):4x - 3y - z + 12 = 0.\)
B. \((P):x - y - z - 1 = 0.\)
C. \((P):4x - 3y - z - 12 = 0.\)
D. \((P):4x - 3y - z + 14 = 0.\)
A. \(M(1; - 2;4).\)
B. \(N( - 4;0;0).\)
C. \(E(1;1;1).\)
D. \(F(0;2;0).\)
A. 7
B. - 6
C. - 9
D. 5
A. \(I\left( {4;1;2} \right).\)
B. \(I\left( { - 1; - 2;1} \right).\)
C. \(I\left( { - 1; - 1;4} \right).\)
D. \(I\left( {2;1;3} \right).\)
A. \((S):\,\,{x^2} + {(y - 2)^2} + {(z - 1)^2} = 13.\)
B. \((S):\,\,{x^2} + {(y + 2)^2} + {(z + 1)^2} = 6.\)
C. \((S):\,\,{x^2} + {(y - 2)^2} + {(z - 1)^2} = 81.\)
D. \((S):\,\,{x^2} + {(y - 2)^2} + {(z - 1)^2} = 9.\)
A. \(x - y - 2 = 0\)
B. \(x - y + 2 = 0\)
C. \(x + y + 2 = 0\)
D. \(x + y - 2 = 0\)
A.
\(\left\{ \begin{array}{l}
y = - 6\\
z = 8
\end{array} \right.\)
B.
\(\left\{ \begin{array}{l}
y = 6\\
z = 8
\end{array} \right.\)
C.
\(\left\{ \begin{array}{l}
y = 6\\
z = -8
\end{array} \right.\)
D.
\(\left\{ \begin{array}{l}
y = - 6\\
z = -8
\end{array} \right.\)
A. \((4;2;4).\)
B. \((2;5;4).\)
C. \((4;6;4).\)
D. \((2;6;4).\)
A. \((0;6;0).\)
B. \((0;9;0).\)
C. \((0;8;0).\)
D. \((0;10;0).\)
A. \(r = 2.\)
B. \(r = \sqrt 3 .\)
C. \(r = \sqrt 5 .\)
D. \(r = 3.\)
A. \(x + 5y - 7z = 0\)
B. \(x + 5y + 7z - 1 = 0\)
C. \(x - 5y + 7z + 1 = 0\)
D. \(x - 5y - 7z = 0\)
A. \(y + z - 4 = 0\)
B. \(4x + 3z + 4 = 0\)
C. \(3x - 3z - 4 = 0\\)
D. \(y - z - 1 = 0\)
A. \(I( - 4; - 1;4),\,\,R = 4\)
B. \(I( - 4; - 1;4),\,\,R = 16.\)
C. \(I(4;1; - 4),\,\,R = 8.\)
D. \(I(4;1; - 4),\,\,R = 4.\)
A. \((P):\,\,x + 2y - 4z - 3 = 0.\)
B. \((P):\,\, - x + 2y - 4z + 3 = 0.\)
C. \((P):\,\,x + 2y - 4z - 13 = 0.\)
D. \((P):\,\, - x + 2y - 4z + 13 = 0.\)
A. \(d = \frac{{\sqrt 3 }}{6}.\)
B. \(d = \frac{{\sqrt 3 }}{3}.\)
C. \(d = \frac{{\sqrt 6 }}{2}.\)
D. \(d = \frac{{2\sqrt 6 }}{3}.\)
A. \((S):\,{\left( {x + \frac{1}{2}} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 2} \right)^2} = \frac{5}{4}.\)
B. \((S):\,{\left( {x - \frac{1}{2}} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 2} \right)^2} = \frac{5}{4}.\)
C. \((S):\,\,{\left( {x + \frac{1}{2}} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 2} \right)^2} = 5.\)
D. \((S):\,\,{\left( {x - \frac{1}{2}} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 2} \right)^2} = 5.\)
A. \(3x - 4y + 2z - 33 = 0\)
B. \(3x - 4y + 2z + 33 = 0\)
C. \(3x - 4y + 2z - 43 = 0\\)
D. \(3x - 4y + 2z + 43 = 0\)
A. \(r=3\)
B. \(r = \frac{{3\sqrt 2 }}{2}.\)
C. \(r = \sqrt 2 .\)
D. \(r = 2\sqrt 2 .\)
A. \(\overrightarrow n = (4; - 6;5).\)
B. \(\overrightarrow n = ( - 3;5;2).\)
C. \(\overrightarrow n = (3; - 5;2).\)
D. \(\overrightarrow n = (2; - 3; - 7).\)
A. \(B( - 3;2;7).\)
B. \(B( - 3; - 2; - 7).\)
C. \(B(3; - 2; - 7).\)
D. \(B(3;2;7).\)
A. \(M\left( {0;\frac{9}{4};0} \right).\)
B. \(M\left( {0;\frac{9}{2};0} \right).\)
C. \(M\left( {0; - \frac{9}{2};0} \right).\)
D. \(M\left( {0; - \frac{9}{4};0} \right).\)
A. \(M(2; - 2;0).\)
B. \(M(1;1;0).\)
C. \(M( - 1;1;0).\)
D. \(M( - 2;2;0).\)
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