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प्रश्न
Negate of the statement :
There exists a number which is equal to its square.
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उत्तर
Negation of the given statement:
There exists a number which is not equal to its square.
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संबंधित प्रश्न
By giving a counter example, show that the following statements are not true.
q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.
Find out the sentence are statement and are not. Justify your answer.
Every set is a finite set.
Find out the sentence are statement and are not. Justify your answer.
Two non-empty sets have always a non-empty intersection.
Find out the sentence are statement and are not. Justify your answer.
All triangles have three sides.
Find out the sentence are statement and are not. Justify your answer.
Every rhombus is a square.
Find out the sentence are statement and are not. Justify your answer.
All real numbers are complex numbers.
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The earth is round.
Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
There exist real numbers a and b for which a + b = b + a.
Write the component statement of the compound statement and check whether the compound statement is true or false:
To enter into a public library children need an identity card from the school or a letter from the school authorities.
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For every x ϵ N, x + 3 < 10
Negate statement:
All the students completed their homework.
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It rains only if it is cold.
statement are true and false? In each case give a valid reason for saying so
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statement are true and false? In each case give a valid reason for saying so
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Ramesh will get dessert only if he eats his dinner.
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If x = 7 and y = 4” then x + y = 11.
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
The negation of the statement “It is raining and weather is cold.” is ______.
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Every square is a rectangle.
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Sum of opposite angles of a cyclic quadrilateral is 180°.
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2, 3 and 6 are factors of 12
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
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35 is a prime number or a composite number
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You will get a sweet dish after the dinner.
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There exists a triangle which is not equilateral.
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For all real numbers x with x > 3, x 2 is greater than 9.
Identify the Quantifiers in the following statements.
There exists a statement in above statements which is not true.
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p: 125 is divisible by 5 and 7.
Check the validity of the following statement.
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The negation of the statement “A circle is an ellipse” is ______.
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The negation of the statement “101 is not a multiple of 3” is ______.
Which of the following statement is a conjunction?
