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 `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 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 the correct explanation for Statement-1

Explanation

MP of AB=`((3+1)/2 , (1+3)/2,(6+4)/2)`

`= (2,2,5)`

`P(2,2,5) = 2-2 +5-5 = 0`

MP is on plane

Drs of line `_|_` to plane `P_1` = (1,-1,1)

Drs of line PQ = `(2,-2,2)`

`2/1 = -2/-1 = 2/1 = 2`

`PQ || `(line `_|_ `to plane)

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