Download App

Mathematical Logic — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMathematical Logic2 Marks
MCQ
$\sim(\sim p) \leftrightarrow p$ is
  • ✓
    a tautology
  • B
    a contradiction
  • C
    neither a contradiction nor a tautology
  • D
    none of these
✓

Answer

Correct option: A.
a tautology
(A)
$\sim(\sim p) \rightarrow p \equiv p \rightarrow p \quad \ldots[\because \sim(\sim p) \equiv p]$
∴ Using Shortcut 1 , we get
$p \rightarrow p \equiv T$
$\therefore \quad \sim(\sim p) \leftrightarrow p$ is a tautology.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Mathematical Logic→Mathematical Logic — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

The general solution of $\sin x-\cos x=\sqrt{2}$, for any integer n is
→
The principal value branch of $\sec ^{-1} x$ is
→
The function $f(x) = 2x^3- 15x^2 + 36x + 4$ is maximum at $x =$
→
If $\bar{a}+\bar{b}+\bar{c}=\overline{0}$, then the angle $\theta$ between $\bar{b}$ and $\bar{c}$ is given by
→
$\int \frac{\log x}{(\log e x)^2} dx =$____
→
If $A=\left[\begin{array}{lll}1 & 2 & 1 \\ 3 & 2 & 3 \\ 2 & 1 & 2\end{array}\right]$, then $a_{11} A_{11}+a_{21} A_{21}+a_{31} A_{31}=$
→
The value of objective function is maximum under linear constraints _______.
→
$\bar{a}, \bar{b}$ are position vectors of points $A$ and $B$. If $P$ divides $A B$ in the ratio $3: 1$ and $Q$ is the mid-point of $A P$, then position vector of $Q$ will be
→
If p and q are two logical statements and A and B are two sets, then p →q corresponds to
→
Vectors $(p, q)$ and $(5,1)$ are parallel, if
→