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KCET2023MathematicsMathematical Reasoning

The contrapositive of the statement. "If two lines do not intersect in the same plane, then they are parallel." is

Options

  1. AIf two lines are parallel, then they interseet in the same plane.
  2. BIf two lines are not parallel, then they do not intersect in the same plane.If two lines are not parallel, the
  3. CIf two lines are parallel, then they do not intersect in the same plane.
  4. DIf two lines are not parallel, then they intersect in the same plane.

Correct answer

D. If two lines are not parallel, then they intersect in the same plane.

Step-by-step solution

Given, statement "If two lines do not intersect in the same plane, then they are parallel. Contrapositive It two lines intersect in the same plane, then they are not parallel. Converse If two lines donot intersect in the same plane, then they are parallel.

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