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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 the 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 not the correct explanation for Statement-1

Correct answer: Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

Solution

Statement-1 is correct because the coordinates of point A are indeed the mirror image of point B with respect to the given plane. Statement-2 is also true as the plane bisects the line segment joining A and B, confirming that A is the reflection of B across the plane.

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