Q44 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

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

  • A
    If a straight line is equally inclined to both the axes then its slope is 1
  • B
    If a straight line is equally inclined to both the axes then its slope is not 1
  • Correct answer
    C
    If a straight line is not equally inclined to both the axes then its slope is not 1
  • D
    If a straight line is not equally inclined to both the axes then its slope is 1

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"

Hence, the correct answer is option: 'C'.

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