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.
Advertisements
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
Show that the statement
p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
(i) direct method
(ii) method of contradiction
(iii) method of contrapositive
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.
All birds sing.
I will not go to school.
All policemen are thieves.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Write of the statement in the form "if p, then q".
Whenever it rains it is cold.
Check the validity of the statement:
r : 60 is a multiple of 3 or 5.
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
Write negation of the statement
“Everyone who lives in India is an Indian”
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
Rewrite the following statements in the form of conditional statements:
A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.
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 ______.
Which of the following sentences are statements? Justify
15 + 8 > 23
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.
Two lines in a plane either intersect at one point or they are parallel.
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Write down the negation of following compound statements
All real numbers are rationals or irrationals.
Write down the negation of following compound statements
35 is a prime number or a composite number
Write down the negation of following compound statements
6 is divisible by 2 and 3.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
Identify the Quantifiers in the following statements.
There exists a real number which is not a rational number.
Identify the Quantifiers in the following statements.
For every natural number x, x + 1 is also a natural number.
Identify the Quantifiers in the following statements.
There exists a real number x such that x2 + 1 = 0.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
