AP EAMCET · Maths · Three Dimensional Geometry
If \(A(2,4,-1), B(3,6,-1)\) and \(C(4,5,1)\) are three consecutive vertices of a parallelogram, then its fourth vertex is
- A (1, 3, 3)
- B \((1,3,-3)\)
- C \((3,3,-1)\)
- D \((3,3,1)\)
Answer & Solution
Correct Answer
(D) \((3,3,1)\)
Step-by-step Solution
Detailed explanation
\(A=(2,4,-1), B=(3,6,-1), C=(4,5,1)\) Let \(D=(x, y, z)\) Since, diagonals of a parallelogram are bisect each other. \(\Rightarrow\) Mid-point of \(A C=\) Mid-point of \(B D\)…
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