jee-main 2020 Q58

jee-main · India · session2_04sep_shift2 Proof Direct Proof of a Stated Identity or Equality

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 $a$.

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 $a$.

Paper Questions

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