मराठी

Write down the converse of following statements: If today is Monday, then tomorrow is Tuesday.

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प्रश्न

Write down the converse of following statements:

If today is Monday, then tomorrow is Tuesday.

बेरीज
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उत्तर

If tomorrow is Tuesday, then today is Monday.

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पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६४]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 10.(ii) | पृष्ठ २६४

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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.

It the two lines are parallel, then they do not intersect in the same plane.


Write the contrapositive and converse of the following statements.

Something is cold implies that it has low temperature.


Write the contrapositive and converse of the following statements.

You cannot comprehend geometry if you do not know how to reason deductively.


Write the contrapositive and converse of the following statements.

x is an even number implies that x is divisible by 4


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

You get a job implies that your credentials are good.


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”.

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.

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(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:

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


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

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

q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.


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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.


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


State the converse and contrapositive of  statement:

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


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

 

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If she works, she will earn money.


Determine the contrapositive of the statement:

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


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 It never rains when it is cold.


Determine the contrapositive of the statement:

If x is less than zero, then x is not positive.


Determine the contrapositive of the statement:

 If x is an integer and x2 is odd, then x is odd.

 

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p: For any real numbers x, y if x = y, then 2x + a = 2y + a when a ∈ Z.


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


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


Write down the converse of following statements:

If a rectangle ‘R’ is a square, then R is a rhombus.


Write down the converse of following statements:

If S is a cyclic quadrilateral, then the opposite angles of S are supplementary


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