Home
Class 12
MATHS
Statement-1: ~(pharr~q) is equivalent to...

Statement-1: `~(pharr~q)` is equivalent to `(pharrq)`.
Statement-2: `~(pharr~q)` is a tautology.

A

Statement-1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1

B

Statement 1 is true, statement-2 is true, statement 2 is not a correct explanation for statement 1

C

Statement 1 is true , statement 2 is false,

D

statement 1 is false, statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE|Exercise Exercise (Single)|38 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise JEE Previous Year|5 Videos

  • MATRICES

    CENGAGE|Exercise Multiple Correct Answer|7 Videos

Similar Questions

Explore conceptually related problems

The statement ~(pharr ~q) is

p iff q is equivalent to :

Knowledge Check

  • The statement ~(ptoq) is equivalent to

    A
    `p^^(~q)`
    B
    `~p^^q`
    C
    `p^^q`
    D
    `~p^~q`

  • The statement pto(q to p) is equivalent to

    A
    `pto(pharrq)`
    B
    `pto(ptoq)`
    C
    `pto(pvvq)`
    D
    `pto(q^^q)`

  • p leftrightarrow q is equivalent to:

    A
    `p to q`
    B
    `q to p`
    C
    `(p to q) vv (q to q)`
    D
    `(p to q) vv (q to p)`

    • Similar Questions

    Explore conceptually related problems

    ~(pvvq)vv(~p^^q) is equivalent to

    (~pvv~q) is logically equivalent to

    Consider : Statement I: (p^^~q)^^(~p^^q) is a fallacy Statement II: (ptoq)harr(~q to ~p) is a tautology

    Show that (p^^q)vv(~p)vv(p^^~q) is a tautology

    Statements (p to q) harr (~q to ~p)

    Home
    Profile