Question:
Point equidistant from \( (2,0,3), (0,3,2), (0,0,1) \)
Point equidistant from \( (2,0,3), (0,3,2), (0,0,1) \)
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Equate squared distances to avoid square roots.
Updated On: May 1, 2026
- \( (1,2,3) \)
- \( (-3,2,0) \)
- \( (3,-2,0) \)
- \( (3,2,0) \)
- \( (3,2,1) \)
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The Correct Option is D
Solution and Explanation
Concept: Equal distances from three points.
Step 1: Let point \( (x,y,z) \).
Step 2: Equate squared distances: \[ (x-2)^2+y^2+(z-3)^2 = x^2+(y-3)^2+(z-2)^2 \]
Step 3: Expand and simplify.
Step 4: Form linear equations.
Step 5: Solve → gives: \[ (3,2,0) \]
Step 1: Let point \( (x,y,z) \).
Step 2: Equate squared distances: \[ (x-2)^2+y^2+(z-3)^2 = x^2+(y-3)^2+(z-2)^2 \]
Step 3: Expand and simplify.
Step 4: Form linear equations.
Step 5: Solve → gives: \[ (3,2,0) \]
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