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Standard XII
Mathematics
Combination Based on Geometry
Describe the ...
Question
Describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equation and inequalities.
x
2
+
y
2
+
z
2
>
1
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Solution
Given,
x
2
+
y
2
+
z
2
>
1
⇒
The set of points strictly outside the sphere of radius 1 that is centered at origin.
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