हिंदी

Which of the following sentences are statements? Justify sin2x + cos2x = 0

Advertisements
Advertisements

प्रश्न

Which of the following sentences are statements? Justify

sin2x + cos2x = 0

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Explanation:

Hence, it is a statement.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 4.(x) | पृष्ठ २६१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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 set is a finite set.


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.

 This sentence is a statement.


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

 Mathematics is difficult.


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

All real numbers are complex numbers.


Give three examples of sentences which are not statements. Give reasons for the answers.


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


Write the negation of the statement:

 The sun is cold.

 

All policemen are thieves.

 

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

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


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

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


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

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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.


Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.


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.

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


Find the component statements of the following compound statements.

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


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

A number is either divisible by 2 or 3.


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

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


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 triangle which is not equilateral.


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 statement in above statements which is not true.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


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


Which of the following is the conditional p → q?


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


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×