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Q.

Statement 1 : The point A(1, 0, 7) and is the mirror image of the point B(1, 6, 3) in the line x1=y12=z23

Statement 2 : The line : x1=y12=z23bisects the line joining A(1, 0, 7) and B(1, 6, 3)

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a

Statement 1 is false, statement 2 is true

b

Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1.

c

Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

d

Statement 1 is true, statement 2 is false.

answer is C.

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Detailed Solution

The midpoint of A(1, 0, 7) and B(1, 6, 3) is C(1, 3, 5) which lies on the line

x1=y12=z23

Direction ratios of AB are (1, 6, – 4).
Also the line passing through the points A and B is
perpendicualr to the given line, hence B is the mirror
image of A, consequently statement 1 is true.

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