Advertisements
Advertisements
प्रश्न
The negation of the statement “A circle is an ellipse” is ______.
विकल्प
An ellipse is a circle
An ellipse is not a circle
A circle is not an ellipse
A circle is an ellipse
Advertisements
उत्तर
The negation of the statement “A circle is an ellipse” is a circle is not an ellipse.
Explanation:
Let p: A circle is an ellipse.
~ p: A circle is not an ellipse.
APPEARS IN
संबंधित प्रश्न
Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
Find out the sentence are statement and are not. Justify your answer.
The cat pussy is black.
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.
x2 + 5 | x | + 6 = 0 has no real roots.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
The earth is round.
I will not go to school.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Find the component statement of the compound statement:
All rational numbers are real and all real numbers are complex.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
A lady gives birth to a baby boy or a baby girl.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
To apply for a driving licence, you should have a ration card or a passport.
Write the component statement of the compound statement and check whether the compound statement is true or false:
All rational numbers are real and all real numbers are not complex.
Write the component statement of the compound statement and check whether the compound statement is true or false:
x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.
Write of the statement in the form "if p, then q".
It never rains when it is cold.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.
Which of the following is a statement?
Which of the following sentences are statements? Justify
Sky is red.
Which of the following sentences are statements? Justify
Where is your bag?
Which of the following sentences are statements? Justify
Sum of opposite angles of a cyclic quadrilateral is 180°.
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
Find the component statements of the following compound statements.
`sqrt(7)` is a rational number or an irrational number.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
Which of the following is a statement?
The negation of the statement “7 is greater than 8” is ______.
The negation of the statement “The product of 3 and 4 is 9” is ______.
State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?
