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JEE Mains · Maths · STD 12 - 11. three dimension geometry
A plane bisects the line segment joining the points \(( 1 , 2, 3)\) and \(( - 3, 4, 5)\) at right angles. Then this plane also passes through the point
- A \((- 3, 2, 1 )\)
- B \((3, 2, 1 )\)
- C \((1, 2, - 3)\)
- D \((- 1, 2 , 3)\)
Answer & Solution
Correct Answer
(A) \((- 3, 2, 1 )\)
Step-by-step Solution
Detailed explanation
Since the Plane Bisects the line joining the points, then the Plane must moet the line at the Midpoint of the line which is \(\left(\frac{1-3}{2}, \frac{2+4}{2}, \frac{5+3}{2}\right)=\left(\frac{-2}{2}, \frac{6}{2}, \frac{8}{2}\right)=(-1,3,4)\) (as the line is perpendicular to…
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