Question:
The point $A(3, 1, 6)$ is the mirror image of the point $B(1, 3, 4)$ in the plane $x - y + z = 5$.
The plane $x - y + z = 5$ bisects the line segment joining $A(3, 1, 6)$ and $B(1, 3, 4)$.
The point $A(3, 1, 6)$ is the mirror image of the point $B(1, 3, 4)$ in the plane $x - y + z = 5$.
The plane $x - y + z = 5$ bisects the line segment joining $A(3, 1, 6)$ and $B(1, 3, 4)$.
Updated On: Jul 5, 2022
- Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1
- Statement-1 is true, Statement-2 is false
- Statement-1 is false, Statement-2 is true
- Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
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The Correct Option is A
Solution and Explanation
A(3, 1, 6); B = (1, 3, 4)
Mid-point of AB = (2, 2, 5) lies on the plane.
and d.r?s of AB = (2, -2, 2)
d.r?s Of normal to plane = (1, -1, 1).
AB is perpendicular bisector
$\therefore$ A is image of B
Statement-2 is correct but it is not correct explanation.
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