JEE PYQ: Mathematical Reasoning Question 16
Question 16 - 2020 (04 Sep Shift 2)
Contrapositive of the statement: ‘If a function $f$ is differentiable at $a$, then it is also continuous at $a$’, is:
(1) If a function $f$ is continuous at $a$, then it is not differentiable at $a$.
(2) If a function $f$ is not continuous at $a$, then it is not differentiable at $a$.
(3) If a function $f$ is not continuous at $a$, then it is differentiable at $a$.
(4) If a function $f$ is continuous at $a$, then it is differentiable at $a$.
Type: MCQ
Show Answer
Answer: (2)
Solution
Contrapositive statement will be “If a function is not continuous at ‘$a$’, then it is not differentiable at ‘$a$’”.