csat-suneung 2006 Q10

csat-suneung · South-Korea · csat__math-science 4 marks Circles Sphere and 3D Circle Problems

In coordinate space, the $xy$-plane, $yz$-plane, and $zx$-plane divide the space into 8 regions. How many of these 8 regions does the sphere
$$( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 24$$
pass through? [4 points]
(1) 8
(2) 7
(3) 6
(4) 5
(5) 4

In coordinate space, the $xy$-plane, $yz$-plane, and $zx$-plane divide the space into 8 regions. How many of these 8 regions does the sphere

$$( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 24$$

pass through? [4 points]\\
(1) 8\\
(2) 7\\
(3) 6\\
(4) 5\\
(5) 4

Paper Questions

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