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JEE Main 20204 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
4 September
Shift
Evening Shift
Subject
Mathematics
Chapter
Mathematical Reasoning

JEE Main 2020 · 4 September · Evening Shift · Mathematics · Mathematical Reasoning

Contrapositive of the statement : 'If a function f is...

Contrapositive of the statement :

'If a function ff is differentiable at aa, then it is also continuous at aa', is

Options

  1. AIf a function ff is continuous at aa, then it is not differentiable at aa.
  2. BIf a function ff is not continuous at aa, then it is not differentiable at aa.
  3. CIf a function ff is not continuous at aa. then it is differentiable at aa.
  4. DIf a function ff is continuous at aa, then it is differentiable at aa.

Correct answer

B. If a function ff is not continuous at aa, then it is not differentiable at aa.

Step-by-step solution

By using definition, we have;

Contrapositive of p⇒qp ⇒ q is  q⇒ p~ q ⇒ ~ p.

Which means contrapositive of given statement is;

"If a function ff is not continuous at aa, then it is not differentiable at aa."

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