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JEE Main2011MathematicsThree Dimensional GeometryActual

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 x 1 = y-1 2 = z-2 3 . Statement-2 : The line: x 1 = y-1 2 = z-2 3 bisects the line segment joining A(1,0,7) and B(1,6,3) .

Options

  1. AStatement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement -1
  2. BStatement -1 is true, Statement -2 is false.
  3. CStatement -1 is false, Statement -2 is true.
  4. DStatement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement -1

Correct answer

A. Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement -1

Step-by-step solution

Statement -1: A B is perpendicular to given line and mid point of A B lies on line Statement -2 is true but it is not correct explanation as it is bisector only. If it is perpendicular bisector then only statement -2 is correct explanation.

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