मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Choose the correct alternative: Which one of the following statements has the truth value T?

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प्रश्न

Choose the correct alternative:

Which one of the following statements has the truth value T?

पर्याय

  • sin x is an even function

  • Every square matrix is non-singular

  • The product of complex number and its conjugate is purely imaginary

  • `sqrt(5)` is an irrational number

MCQ
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उत्तर

`sqrt(5)` is an irrational number

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Mathematical Logic
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.3 [पृष्ठ २५०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.3 | Q 8 | पृष्ठ २५०

संबंधित प्रश्‍न

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

P ∧ ¬q


Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

p → ¬q


Which one of the following sentences is a proposition?

4 + 7 = 12


Which one of the following sentences is a proposition?

What are you doing?


Which one of the following sentences is a proposition?

Peacock is our national bird


Which one of the following sentences is a proposition?

How tall this mountain is!


Construct the truth table for the following statement.

(p v q) v ¬q


Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)


Show that ¬(p → q) ≡ p ∧¬q


Prove that q → p ≡ ¬p → ¬q


Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table


Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table


Choose the correct alternative:

The operation * defined by a * b = `"ab"/7` is not a binary operation on


Choose the correct alternative:

If a compound statement involves 3 simple statements, then the number of rows in the truth table is


Choose the correct alternative:

Which one is the contrapositive of the statement (p v q) → r?


Choose the correct alternative:

Which one of the following is incorrect? For any two propositions p and q, we have


Choose the correct alternative:

p q (p ∧ q) → ¬p
T T (a)
T F (b)
F T (c)
F F (d)

Which one of the following is correct for the truth value of (p ∧ q) → ¬p


Choose the correct alternative:

The dual of ¬(p v q) v [p v(p ∧ ¬r)] is


Choose the correct alternative:

Which one of the following is not true?


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