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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 ‘$a$’”.


Learning Progress: Step 16 of 42 in this series