Advertisements
Advertisements
प्रश्न
statement are true and false? In each case give a valid reason for saying so
q : The centre of a circle bisects each chord of the circle.
उत्तर
The given statement is false.
If a chord is not the diameter of a circle, then the centre does not bisect that chord. In other words, the centre of a circle only bisects the diameter, which is the chord of the circle.
APPEARS IN
संबंधित प्रश्न
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 real numbers are complex numbers.
Write the negation of the statement:
It rained on July 4, 2005.
Write the negation of the statement:
The earth is round.
All policemen are thieves.
Write the negation of the statement:
q : For every real number x, either x > 1 or x < 1.
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:
The earth is round or the sun is cold.
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.
To entry a country, you need a passport or a voter registration card.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Write of the statement in the form "if p, then q".
There is traffic jam whenever it rains.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
statement are true and false? In each case give a valid reason for saying so
p : Each radius of a circle is a chord of the circle.
Write the negation of the following statements:
q: 9 is a multiple of 4.
Write the negation of the following statements:
r: A triangle has four sides.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
Which of the following sentences are statements? Justify
y + 9 = 7.
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
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.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
All living things have two eyes and two legs.
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Write down the negation of following compound statements
All rational numbers are real and complex.
Write down the negation of following compound statements
All real numbers are rationals or irrationals.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Write down the negation of following compound statements
35 is a prime number or a composite number
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.
Identify the Quantifiers in the following statements.
For all real numbers x with x > 3, x 2 is greater than 9.
Which of the following is a statement?
Which of the following is the conditional p → q?
Which of the following is not a negation of “A natural number is greater than zero”?
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?
