English

Write the Negation of the Statement:Banglore is the Capital of Karnataka. - Mathematics

Advertisements
Advertisements

Question

Write the negation of the statement:
Banglore is the capital of Karnataka.

Solution

 Negation of the given statement:
It is not true that Bangalore is the capital of Karnataka.
Or
Bangalore is not the capital of Karnataka.

shaalaa.com
  Is there an error in this question or solution?
Chapter 31: Mathematical reasoning - Exercise 31.2 [Page 6]

APPEARS IN

RD Sharma Mathematics [English] Class 11
Chapter 31 Mathematical reasoning
Exercise 31.2 | Q 1.1 | Page 6

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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.

 The real number x is less than 2.


All birds sing.


 I will not go to school.


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.


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

A lady gives birth to a baby boy or a baby girl.


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


Negate of the  statement :

There exists a number which is equal to its square.

 

 


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

 It is necessary to have a passport to log on to the server.


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 rains only if it is cold.


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

 p : Each radius of a circle is a chord of the circle.


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

q : The centre of a circle bisects each chord of the circle.


Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”


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

2 is a positive number or a negative number.


Write negation of the statement
“Everyone who lives in India is an Indian”


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


Find the component statements of the following compound statements.

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


Write the component statements of the following compound statements and check whether the compound statement is true or false.

All living things have two eyes and two legs.


Translate the following statements into symbolic form

x and y are even integers.


Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.


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.

There exists a real number which is not a rational number.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Identify the Quantifiers in the following statements.

For all negative integers x, x 3 is also a negative integers.


Identify the Quantifiers in the following statements.

There exists a statement in above statements which is not true.


The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.


The negation of the statement “7 is greater than 8” is ______.


The negation of the statement “101 is not a multiple of 3” is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×