मराठी

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. - Mathematics

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प्रश्न

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.

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उत्तर

 A quadrilateral is a rectangle if and only if it is equiangular.

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पाठ 31: Mathematical reasoning - Exercise 31.5 [पृष्ठ २१]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.5 | Q 3.2 | पृष्ठ २१

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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.


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


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(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.


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

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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”.

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If it is hot outside, then you feel thirsty.


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


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 Only if Max studies will he pass the test.


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


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If today is Monday, then tomorrow is Tuesday.


Write down the converse of following statements:

If x is zero, then x is neither positive nor negative.


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

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