Statement I: The point $A (1, 0, 7)$ is the mirror image of the point $B (1, 6, 3)$ in the line $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$

Statement II: The line $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ bisects and perpendicular to the line segment joining $A (1, 0, 7) and B (1, 6, 3)$

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Statement I is true, statement II is true statement II is not correct explanation for statement I

Statement I is true, statement II is true statement II is correct explanation for statement I

Statement I is false. Statement II is true

statement I is true, statement II is false

answer is B.

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Detailed Solution

A (1, 0, 7) B (1, 6, 3)
Midpoint of AB= (1, 3, 5) lies in the line
DR’s of AB (0, 6, -4) the line passing through A and B is perpendicular to the given line hence B in the mirror image.
Statement II is also true but not a correct explanation of I as there are infinitely many lines passing through the midpoint of the line segment and one of the lines is perpendicular bisector.

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