मराठी

All Birds Sing.

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प्रश्न

All birds sing.

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उत्तर

 Negation of the given statement:
Some birds do not sing.
Or
There exists a bird that does not sing.

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पाठ 31: Mathematical reasoning - Exercise 31.2 [पृष्ठ ७]

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.2 | Q 2.1 | पृष्ठ ७

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the statement “For any real numbers a and ba2 = b2 implies that a = b” is not true by giving a counter-example.


Find out the sentence are statement and are not. Justify your answer.

 Every set is a finite set.


Find out the sentence are statement and are not. Justify your answer.

Is the earth round?


Find out the sentence are statement and are not. Justify your answer.

 Go !


Find out the sentence are statement and are not. Justify your answer.

 The real number x is less than 2.


Find out the sentence are statement and are not. Justify your answer.

There are 35 days in a month.


Find out the sentence are statement and are not. Justify your answer.

 Mathematics is difficult.


Find out the sentence are statement and are not. Justify your answer.

All real numbers are complex numbers.


Give three examples of sentences which are not statements. Give reasons for the answers.


Write the negation of the statement:

 The sun is cold.

 

All policemen are thieves.

 

Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.


Find the component statement of the compound statement:
 The sky is blue and the grass is green.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


 statement are true and false? In each case give a valid reason for saying so

r : Circle is a particular case of an ellipse.


Identify the component statements and the connective in the following compound statements.

2 is a positive number or a negative number.


Translate the following statements in symbolic form

2 and 3 are prime numbers 


Write the negation of the following statements:
x + y = y + x and 29 is a prime number.


Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


Which of the following sentences are statements? Justify

Where is your bag?


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


Which of the following is the conditional p → q?


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