AP EAMCET · Maths · Three Dimensional Geometry
The coordinates of the point \((3,-7,5)\) in the new system, when the origin is shifted to the point \((-1,-1,-1)\) by the translation coordinate of axes, is
- A \((4,-6,6)\)
- B \((4,6,6)\)
- C \((6,6,6)\)
- D \((4,4,4)\)
Answer & Solution
Correct Answer
(A) \((4,-6,6)\)
Step-by-step Solution
Detailed explanation
Origin shifted to \((-1,-1,-1)\) i.e. \((0,0,0) \rightarrow(-1,-1,-1)\) Then \((3,-7,5) \rightarrow(3-(-1),-7-(-1), 5-(-1))\) \(=(4,-6,6)\) \(\therefore \quad\) The new co-ordinate of \((3,-7,5)\) is \((4,-6,6)\).
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