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JEE Main2012MathematicsThree Dimensional GeometryActual

Statement 1: The shortest distance between the lines x 2 = y -1 = z 2 and x-1 4 = y-1 -2 = z-1 4 is 2 . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Options

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

Correct answer

C. Statement 1 is false, Statement 2 is true.

Step-by-step solution

On solving we will get shortest distance 2

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