AP EAMCET · Maths · Three Dimensional Geometry
The points \(A(2,-1,4), B(1,0,-1), C(1,2,3)\) and \(D(2,1,8)\) form a
- A rectangle
- B square
- C rhombus
- D parallelogram
Answer & Solution
Correct Answer
(D) parallelogram
Step-by-step Solution
Detailed explanation
Given points are \(A(2,-1,4), B(1,0,-1), C(1,2,3)\) and \(D(2,1,8)\). \(\therefore \quad A B=\sqrt{1^2+1^2+5^2}=\sqrt{27}\) \(\begin{aligned} & B C=\sqrt{0+2^2+4^2}=\sqrt{20} \\ & C D=\sqrt{1^2+1^2+5^2}=\sqrt{27} \end{aligned}\) and \(D A=\sqrt{0+2^2+4^2}=\sqrt{20}\) Here,…
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