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

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.


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.

 Are all circles round?


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

 x2 + 5 | x | + 6 = 0 has no real roots.


Write the negation of the statement:

 It rained on July 4, 2005.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

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.


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

 To entry a country, you need a passport or a voter registration card.


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 India and 2 + 2 = 5.


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


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 never rains when 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

r : Circle is a particular case of an ellipse.


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 

“Ram and Rahim are friends”


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:
r: A triangle has four sides.


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


Which of the following is a statement?


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


Write down the negation of following compound statements

All prime integers are either even or odd.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


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


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

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


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


Which of the following is a statement?


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×