मराठी

Write down the negation of following compound statements x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.

Advertisements
Advertisements

प्रश्न

Write down the negation of following compound statements

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

बेरीज
Advertisements

उत्तर

p: x = 2 is root of the equation x2 – 5x + 6 = 0.

q: x = 3 is root of the equation x2 – 5x + 6 = 0

The negation of the above statements is

~ (p ∧ q) = (~ p ∨ ~ q): x = 2 is not the root of the equation

x2 – 5x + 6 = 0 or x = 3 is not the root of the equation

x2 – 5x + 6 = 0.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 6.(iii) | पृष्ठ २६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.

 Mathematics is difficult.


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


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:

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


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

The sand heats up quickly in the sun and does not cool down fast at night.

 

Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Negate of the  statement :

There exists a number which is equal to its square.

 

 


Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 

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

2 is a positive number or a negative number.


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:
p: All triangles are equilateral triangles.


Write the negation of the following statements:
q: 9 is a multiple of 4.


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


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


Which of the following sentences are statements? Justify

Sky is red.


Find the component statements of the following compound statements.

0 is less than every positive integer and every negative integer.


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.


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

2 is an even number and a prime number.


Translate the following statements into symbolic form

Rahul passed in Hindi and English.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


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

You will fail, if you will not study.


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.


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 even prime number other than 2.


Which of the following is not a statement>


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


The negation of the statement “Plants take in CO2 and give out O2 ” 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”?


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?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×