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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Consider the statement p : If slope of a straight line is 1 then it is equally inclined to both the axes. Then, the contrapositive of the statement p is

Options

  1. AIf a straight line is equally inclined to both the axes then its slope is 1
  2. BIf a straight line is equally inclined to both the axes then its slope is not 1
  3. CIf a straight line is not equally inclined to both the axes then its slope is not 1
  4. DIf a straight line is not equally inclined to both the axes then its slope is 1

Correct answer

C. If a straight line is not equally inclined to both the axes then its slope is not 1

Step-by-step solution

Contrapositive of statement “if p then q ” is “if ~ q then ~ p . Hence contrapositive is "If a straight line is not equally inclined to both the axes then its slope is not 1"

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