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ExamsJEE MainMaths

Statement-1: The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x - y + z = 5. Statement-2: The plane x - y + z = 5 bisects the line segment joining A(3, 1, 6) and B(1, 3, 4).

  1. Statement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1.
  2. Statement -1 is true, Statement -2 is false.
  3. Statement -1 is false, Statement -2 is true.
  4. Statement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement -1.

Correct answer: Statement -1 is false, Statement -2 is true.

Solution

Statement -1 is false because the coordinates of point A do not correctly represent the mirror image of point B in the given plane. However, Statement -2 is true as the plane does bisect the line segment joining points A and B, confirming that the plane's position is accurate.

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