हिंदी

State whether the following sentences are statements are not.(i) The angles opposite to equal sides of a triangle are equal. (ii) The moon is a satellite of earth. (iii) May God bless you! (iv) Asia

Advertisements
Advertisements

प्रश्न

State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?

योग
Advertisements

उत्तर

(i) It is a statement.
(ii) It is a statement,
(iii) It is not a statement, since it is an exclamations.
(iv) It is a statement.
(v) It is not a statement, since it is a question.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 37 | पृष्ठ २६९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.


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

Two non-empty sets have always a non-empty intersection.


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

 This sentence is a statement.


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.

 Mathematics is difficult.


There is a complex number which is not a real number.


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.


Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number is an irrational number.


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


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.


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

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 

Write of the statement in the form "if p, then q". 

 It is necessary to be rich in order to be happy.


Write of the statement in the form "if p, then q". 

 The game is cancelled only if it is raining.


Write of the statement in the form "if p, then q". 

 It never rains when it is cold.

 

Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.


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.


Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.


Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


Check the validity of the statements:
s: 60 is a multiple of 3 or 5.


Which of the following sentences are statements? Justify

Every set is an infinite set.


Which of the following sentences are statements? Justify

Where is your bag?


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Translate the following statements into symbolic form

x and y are even integers.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

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


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


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.


Which of the following is not a negation of “A natural number is greater than zero”?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×