JEE Mains · Maths · STD 12 - 11. three dimension geometry
The plane which bisects the line segment joining the points \((-3, -3, 4)\) and \((3, 7, 6)\) at right angles, passes through which one of the following points?
- A \((-2, 3, 5)\)
- B \((4, -1, 7)\)
- C \((2, 1, 3)\)
- D \((4, 1, -2)\)
Answer & Solution
Correct Answer
(D) \((4, 1, -2)\)
Step-by-step Solution
Detailed explanation
\(A(-3,3,4), B(3,7,6)\) Mid point \(\Rightarrow(0,2,5)\) \(\vec{n}=\overrightarrow{A B}=6 \hat{i}+10 \hat{j}+2 \hat{k}\) Equation of plane \(\overrightarrow{\mathrm{r}} \cdot \overrightarrow{\mathrm{n}}=\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{n}}\)…
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