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NDA 2023 Maths · Mathematics · Three Dimensional Geometry · easy

The mid-point of the segment joining (2,-4,6) and (4,0,-2) is

Single correct option

The mid-point of the segment joining (2,−4,6)(2,-4,6) and (4,0,−2)(4,0,-2) is
  1. A. (3,−2,2)(3,-2,2)
  2. B. (6,−4,4)(6,-4,4)
  3. C. (1,2,−4)(1,2,-4)
  4. D. (3,−2,4)(3,-2,4)
Show answer and solution

Answer: (A) (3,−2,2)(3,-2,2)

Mid-point =(2+42,−4+02,6−22)=(3,−2,2)=\left(\dfrac{2+4}{2},\dfrac{-4+0}{2},\dfrac{6-2}{2}\right)=(3,-2,2). The point (6,−4,4)(6,-4,4) forgets halving, and (1,2,−4)(1,2,-4) is half of the difference, which is a vector, not a point.
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Original question written in the NDA 2023 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake