- Home
- Standard 11
- Mathematics
Mathematical Reasoning
medium
Contrapositive of the statement:
'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is
A
If a function $f$ is continuous at $a$, then it is not differentiable at $a$.
B
If a function $f$ is not continuous at $a$, then it is differentiable at $a$.
C
If a function $f$ is not continuous at $a$, then it is not differentiable at $a$.
D
If a function $f$ is continuous at $a$, then it is differentiable at $a$.
(JEE MAIN-2020)
Solution
$p =$ function is differantiable at a
$q =$ function is continuous at a
contrapositive of statement $p \rightarrow q$ is
$\sim q \rightarrow \sim p$
Standard 11
Mathematics
