JEE Main 2011 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2011

This question has Statement −1 and Statement −2. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1 : The point A(1, 0, 7) is the mirror image of the point B(1, 6, 3) in the line . Statement-2 : The line: bisects the line segment joining A(1, 0, 7) and B(1, 6, 3).

Answer: (1)

Solution

The midpoint (1, 3, 5) lies on the line (1 = (3 − 1)/2 = (5 − 2)/3 = 1), so the line bisects AB (Statement 2 true). Also is perpendicular to the direction (1, 2,

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Question ID VK-039378