Contrapositive of the statement:
'If a function $f$ is differentiable at $a$, then it is also continuous at $a$', is
If a function $f$ is continuous at $a$, then it is not differentiable at $a$.
If a function $f$ is not continuous at $a$, then it is differentiable at $a$.
If a function $f$ is not continuous at $a$, then it is not differentiable at $a$.
If a function $f$ is continuous at $a$, then it is differentiable at $a$.
The negative of the statement $\sim p \wedge(p \vee q)$ is
Statement$-I :$ $\sim (p\leftrightarrow q)$ is equivalent to $(p\wedge \sim q)\vee \sim (p\vee \sim q) .$
Statement$-II :$ $p\rightarrow (p\rightarrow q)$ is a tautology.
Negation of $(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$ is
Which of the following statements is a tautology?
The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to