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प्रश्न
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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उत्तर
You get an A grade if and only if you do all the homework regularly.
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.
Something is cold implies that it has low temperature.
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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.
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(ii) If you have winter clothes, then you live in Delhi.
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(i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.
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r: If it is hot outside, then you feel thirsty.
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If you live in Delhi, then you have winter clothes.
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If she works, she will earn money.
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It never rains when it is cold.
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If natural number n is divisible by 6, then n is divisible by 2 and 3.
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If today is Monday, then tomorrow is Tuesday.
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If all three angles of a triangle are equal, then the triangle is equilateral.
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If S is a cyclic quadrilateral, then the opposite angles of S are supplementary
Write down the converse of following statements:
If two triangles are similar, then the ratio of their corresponding sides are equal.
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