Advertisements
Advertisements
प्रश्न
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Advertisements
उत्तर
Let p: An angle is a right angle.
q: An angle is of measure 90°
The given statement is p ↔ q
Its negation is ~(p ↔ q) ≡ (p ∧ ~q) ∨ (q ∧ ~p)
∴ The negation of given statement is ‘An angle is a right angle and it is not of measure 90° or an angle is of measure 90° and it is not a right angle.’
संबंधित प्रश्न
Write the following compound statement symbolically.
The angle is right angle if and only if it is of measure 90°.
Construct the truth table of the following:
p → (q → p)
Express the following statement in symbolic form.
Mango is a fruit but potato is a vegetable.
Write the truth value of the following statement.
Earth is a planet and Moon is a star.
Write the negation of the following statement.
All men are animals.
Write the negation of the following statement.
2 + 3 ≠ 5
Write the following statement in symbolic form.
Stock prices are high if and only if stocks are rising.
Find the truth value of the following statement.
3 is a prime number and an odd number.
If p and q are true and r and s are false, find the truth value of the following compound statement.
(p → q) ∨ (r ∧ s)
If p and q are true and r and s are false, find the truth value of the following compound statement.
~ [(~ p ∨ s) ∧ (~ q ∧ r)]
Assuming that the following statement is true,
p : Sunday is holiday,
q : Ram does not study on holiday,
find the truth values of the following statements.
Sunday is a holiday and Ram studies on holiday.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
It is not true that Ram is tall and handsome.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
It is not true that intelligent persons are neither polite nor helpful.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
Proof is lengthy and it is not interesting.
Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
p→(q ∨ r)
Write the negation of the following.
An angle is a right angle if and only if it is of measure 90°.
Write the negation of the following.
Kanchanganga is in India and Everest is in Nepal.
Write the negation of the following statement.
∃ x ∈ A, such that x + 5 < 11.
A biconditional statement is the conjunction of two ______ statements.
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively
If p, q are true statement and r is false statement, then which of the following statements is a true statement.
Let p, q and r be any three logical statements. Which of the following is true?
Converse of the statement q `rightarrow` p is ______.
Express the following compound statement symbolically:
Delhi is in India but Dhaka is not in Sri Lanka
If p, q are true statements and r, s are false statements, then write the truth value of the compound statement
(p `→` ∼ r) `→` (q ∧ s)
