मराठी

Write down the converse of following statements: If all three angles of a triangle are equal, then the triangle is equilateral.

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प्रश्न

Write down the converse of following statements:

If all three angles of a triangle are equal, then the triangle is equilateral.

बेरीज
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उत्तर

If the triangle is equilateral, then all three angles of the triangle are equal.

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पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६४]

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

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संबंधित प्रश्‍न

Write the contrapositive and converse of the following statements.

If x is a prime number, then x is odd


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Something is cold implies that it has low temperature.


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.

(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:

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

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

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Given below are two statements

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

 

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

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If she works, she will earn money.


Determine the contrapositive of the statement:

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Only if he does not tire will he win.


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Check whether the statement are true or not: 

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Show that the following statement is true.
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.


Write down the contrapositive of the following statements:

If natural number n is divisible by 6, then n is divisible by 2 and 3.


Write down the contrapositive of the following statements:

If it snows, then the weather will be cold.


Write down the contrapositive of the following statements:

If x is a real number such that 0 < x < 1, then x2 < 1.


Write down the converse of following statements:

If you go to Agra, then you must visit Taj Mahal.


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The contrapositive of the statement “If p, then q”, is ______.


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

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