मराठी

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

p ↔ q: A triangle is an equilateral triangle if and only if all three sides of triangle are equal.

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 8.(iii) | पृष्ठ २६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find out the following  sentence is a statement and is not. Justify your answer.

Listen to me, Ravi !


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


Write the negation of the statement:

 It rained on July 4, 2005.


All birds sing.


Find the component statement of the compound statement:

The earth is round or the sun is cold.


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are 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 = 5.


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.


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

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


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.


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

Where is your bag?


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

Number 7 is prime and odd.


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.

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


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.

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.


Write down the negation of following compound statements

All prime integers are either even or odd.


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


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.
p: 125 is divisible by 5 and 7.


Which of the following is 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 “The product of 3 and 4 is 9” is ______.


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×