हिंदी

Prepare truth tables for the following statement pattern. (~ p ∨ q) ∧ (~ p ∨ ~ q) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Prepare truth tables for the following statement pattern.

(~ p ∨ q) ∧ (~ p ∨ ~ q)

योग
Advertisements

उत्तर

(~ p ∨ q) ∧ (~ p ∨ ~ q)

p q ~p ~q ~p∨q ~p∨~q (~p∨q)∧(~p∨~q)
T T F F T F F
T F F T F T F
F T T F T T T
F F T T T T T
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Mathematical Logic - Exercise 1.6 [पृष्ठ १६]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.6 | Q 1.2 | पृष्ठ १६

संबंधित प्रश्न

Examine whether the following logical statement pattern is a tautology, contradiction, or contingency.

[(p→q) ∧ q]→p


Write the converse and contrapositive of the statement -
“If two triangles are congruent, then their areas are equal.”


Using truth table examine whether the following statement pattern is tautology, contradiction or contingency `(p^^~q) harr (p->q)`


If p and q are true statements and r and s are false statements, find the truth value of the following :
( p ∧  ∼ r ) ∧ ( ∼ q ∧ s )


Show that the following statement pattern in contingency : 

(~p v q) → [p ∧ (q v ~ q)] 


Write the negation of the following statement : 
If the lines are parallel then their slopes are equal.


State if the following sentence is a statement. In case of a statement, write down the truth value :
Every quadratic equation has only real roots.


Determine whether the following statement pattern is a tautology, contradiction, or contingency:

[(p ∨ q) ∧ ∼p] ∧ ∼q


Determine whether the following statement pattern is a tautology, contradiction or contingency:

(p ∧ q) ∨ (∼p ∧ q) ∨ (p ∨ ∼q) ∨ (∼p ∧ ∼q)


Determine whether the following statement pattern is a tautology, contradiction or contingency:

[(p ∨ ∼q) ∨ (∼p ∧ q)] ∧ r


Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

q ∨ [~ (p ∧ q)]


If p is any statement then (p ∨ ∼p) is a ______.


Fill in the blanks :

Inverse of statement pattern p ↔ q is given by –––––––––.


Show that the following statement pattern is contingency.

(p∧~q) → (~p∧~q)


Using the truth table, verify

~(p → ~q) ≡ p ∧ ~ (~ q) ≡ p ∧ q.


Write the negation of the following statement.

∃ n ∈ N, (n2 + 2) is odd number.


Using the rules of negation, write the negation of the following:

(~p ∧ q) ∧ (~q ∨ ~r)


Construct the truth table for the following statement pattern.

(~p ∨ q) ∧ (~p ∧ ~q)


Determine whether the following statement pattern is a tautology, contradiction, or contingency.

[~(p ∨ q) → p] ↔ [(~p) ∧ (~q)]


Determine whether the following statement pattern is a tautology, contradiction, or contingency.

[p → (~q ∨ r)] ↔ ~[p → (q → r)]


Write the converse, inverse, contrapositive of the following statement.

If a man is bachelor, then he is happy.


State the dual of the following statement by applying the principle of duality.

p ∨ (q ∨ r) ≡ ~[(p ∧ q) ∨ (r ∨ s)]


Write the dual of the following.

~(p ∨ q) ≡ ~p ∧ ~q


The contrapositive of p → ~ q is ______


Which of the following is not equivalent to p → q.


Using truth table verify that:

(p ∧ q)∨ ∼ q ≡ p∨ ∼ q


In the triangle PQR, `bar(PQ) = 2bara and bar(QR)` = `2 bar(b)` . The mid-point of PR is M. Find following vectors in terms of `bar(a) and bar(b)` .

  1. `bar(PR)`  
  2. `bar(PM)`
  3. `bar(QM)`

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×