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Write of the Statement in the Form "If P, Then Q". It is Necessary to Have a Passport to Log on to the Server.

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प्रश्न

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

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

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उत्तर

 If you want to log on to the server, then you need a passport.

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अध्याय 31: Mathematical reasoning - Exercise 31.5 [पृष्ठ २१]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 31 Mathematical reasoning
Exercise 31.5 | Q 1.3 | पृष्ठ २१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the statement

p: “If x is a real number such that x3 + 4= 0, then x is 0” is true by

(i) direct method

(ii) method of contradiction

(iii) method of contrapositive


Show that the following statement is true by the method of contrapositive.

pIf x is an integer and x2 is even, then x is also even.


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

Every rhombus is a square.


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.

 Go !


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

 Mathematics is difficult.


Write the negation of the statement:

 The sun is cold.

 

 I will not go to school.


All policemen are thieves.

 

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

All rational numbers are real and all real numbers are not complex.


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


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". 

 The game is cancelled only if it is raining.


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

r : Circle is a particular case of an ellipse.


Which of the following statements are compound statements 

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


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


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


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


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


Find the component statements of the following compound statements.

Chennai is in India and is the capital of Tamil Nadu.


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Find the component statements of the following compound statements.

Chandigarh is the capital of Haryana and U.P.


Translate the following statements into symbolic form

x and y are even integers.


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.


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 an odd number is odd.


Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.


Rewrite the following statements in the form of conditional statements

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


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 real number x such that x2 + 1 = 0.


Check the validity of the following statement.
q: 131 is a multiple of 3 or 11


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


The negation of the statement “The product of 3 and 4 is 9” is ______.


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