मराठी

State the Converse and Contrapositive of Statement: If You Live in Delhi, Then You Have Winter Clothes. - Mathematics

Advertisements
Advertisements

प्रश्न

State the converse and contrapositive of  statement:

If you live in Delhi, then you have winter clothes.

उत्तर

 Converse of the given statement:
If you have winter clothes, then you live in Delhi.
Contrapositive of the given statement:
​If you do not have winter clothes, then you do not live in Delhi.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 31: Mathematical reasoning - Exercise 31.5 [पृष्ठ २१]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.5 | Q 2.4 | पृष्ठ २१

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Rewrite the following statement with “if-then” in five different ways conveying the same meaning.

If a natural number is odd, then its square is also odd.


Write the contrapositive and converse of the following statements.

If x is a prime number, then x is odd


Write each of the following statement in the form “if-then”.

The Banana trees will bloom if it stays warm for a month.


Write each of the following statement in the form “if-then”.

A quadrilateral is a parallelogram if its diagonals bisect each other.


Write each of the following statement in the form “if-then”.

To get A+ in the class, it is necessary that you do the exercises of the book.


Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.

(a) If you live in Delhi, then you have winter clothes.

(i) If you do not have winter clothes, then you do not live in Delhi.

(ii) If you have winter clothes, then you live in Delhi.

(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other.

(i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.

(ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.


State the converse and contrapositive of each of the following statements:

p: A positive integer is prime only if it has no divisors other than 1 and itself.

 


State the converse and contrapositive of each of the following statements:

r: If it is hot outside, then you feel thirsty.


Re write each of the following statements in the form “p if and only if q”.

p: If you watch television, then your mind is free and if your mind is free, then you watch television.


Re write each of the following statements in the form “p if and only if q”.

r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.


Given below are two statements

p: 25 is a multiple of 5.

q: 25 is a multiple of 8.

Write the compound statements connecting these two statements with “And” and “Or”. In both cases check the validity of the compound statement.


State the converse and contrapositive of  statement:

I go to a beach whenever it is a sunny day.


State the converse and contrapositive of  statement:

 If a quadrilateral is a parallelogram, then its diagonals bisect each other.

 

Rewrite of the  statement in the form "p if and only if q".

 q : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.


Rewrite of the  statement in the form "p if and only if q".

 s : If a tumbler is half empty, then it is half full and if a tumbler is half full, then it is half empty.


Determine the contrapositive of the statement:

 If Mohan is a poet, then he is poor.


Determine the contrapositive of the statement:

If she works, she will earn money.


Determine the contrapositive of the statement:

If it snows, then they do not drive the car.


Determine the contrapositive of the statement:

 If Ravish skis, then it snowed.


Determine the contrapositive of the statement:

 It is necessary to be strong in order to be a sailor.


Which of the following is the converse of the statement?
“If Billu secure good marks, then he will get a bicycle.”


Write down the contrapositive of the following statements:

If n is a natural number, then n is an integer.


Write down the contrapositive of the following statements:

If x and y are negative integers, then xy is positive.


Write down the contrapositive of the following statements:

If it snows, then the weather will be cold.


Write down the converse of following statements:

If today is Monday, then tomorrow is Tuesday.


Write down the converse of following statements:

If x : y = 3 : 2, then 2x = 3y.


The converse of the statement “If x > y, then x + a > y + a” is ______.


The converse of the statement “If sun is not shining, then sky is filled with clouds” is ______.


The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.


Write the statement in the form “if p, then q”.

p: It is necessary to have a password to log on to the server.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×