10 கணிதம் அலகு -1 . கணங்களும் சார்புகளும்

1.

எனில்

(1) 26 (2) 21 (3) 20 (4) -20

(2)

(3)

(4)

(1)

The given question is in Tamil language and it presents a series of numbers. The numbers are listed in a specific order and the task is to identify the correct answer based on the given options. In this case, the correct answer is (2) because it is the second number in the series.

Explanation

The given question is in Tamil language and it presents a series of numbers. The numbers are listed in a specific order and the task is to identify the correct answer based on the given options. In this case, the correct answer is (2) because it is the second number in the series.

2. N(A) = 20 , n(B) = 30 மற்றும் n(AUB) = 40 எனில் n(AnB) = (1) 50 (2) 10 (3) 40 (4) 70

(2)

(3)

(4)

(1)

not-available-via-ai

Explanation

not-available-via-ai

3.

என்க .

என்றவாறு வரையறை செய்யப்பட்ட சார்பு

இன் வீச்சகம்

(4)

(1)

(2)

(3)

not-available-via-ai

Explanation

not-available-via-ai

4.

எனில் , 3 - ன் முன் உருக்கள் (1) 5 மற்றும் -1 (2) 6 மற்றும் 8 (3) 8 மற்றும் -1 (4) 6 மற்றும் 5

(4)

(3)

(2)

(1)

The given question is asking for the numbers that come before 3. Looking at the options, we can see that option (4) has the numbers 6 and 5, which come before 3. Therefore, option (4) is the correct answer.

Explanation

The given question is asking for the numbers that come before 3. Looking at the options, we can see that option (4) has the numbers 6 and 5, which come before 3. Therefore, option (4) is the correct answer.

5. A =

B =

எனில் A \ B = (1)

(2)

(3)

(4)

(1)

(2)

(3)

(4)

If A = B, then A \ B would be equal to the empty set or the null set. This is because the backslash symbol (\) represents set difference, which means removing the elements of one set from another. If A and B are equal, then there are no elements in A that are not already in B, resulting in an empty set.

Explanation

If A = B, then A \ B would be equal to the empty set or the null set. This is because the backslash symbol (\) represents set difference, which means removing the elements of one set from another. If A and B are equal, then there are no elements in A that are not already in B, resulting in an empty set.

6. A , B மற்றும் C ஆகிய ஏதேனும் மூன்று கணங்களுக்கு A n (BUC) = (1) (AUB) U(BnC) (2) (AnB) U (AnC) (3) A U(BnC) (4) (AUB) n (BUC)

(2)

(3)

(4)

(1)

The correct answer is (2) (AnB) U (AnC). This is because the given expression A n (BUC) can be rewritten as (AnB) U (AnC) using the distributive property of intersection over union.

Explanation

The correct answer is (2) (AnB) U (AnC). This is because the given expression A n (BUC) can be rewritten as (AnB) U (AnC) using the distributive property of intersection over union.

7. P மற்றும் Q என்பன ஏதேனும் இரண்டு கணங்கள் எனில் P

Q = (1)

(2)

(3)

(4)

((3)

(1)

(2)

(4)

not-available-via-ai

Explanation

not-available-via-ai

8.

ஒரு மாறிலிச் சார்பை குறிக்கிநது எனில் a - ன் மதிப்பு (1) 7 (2) 11 (3) 5 (4) 9

(2)

(3)

(1)

(4)

The correct answer is (2) 11.

Explanation

The correct answer is (2) 11.

9.

ஒரு இருபுறச்சார்பு மற்றும் n(A) = 5 எனில் n(B) = (1) 10 (2) 4 (3) 5 (4) 25

(3)

(4)

(1)

(2)

The question states that n(A) = 5, which means that there are 5 elements in set A. The value of n(B) is asked. Since no information is given about the relationship between sets A and B, we cannot determine the exact value of n(B). However, since the options given are 10, 4, 5, and 25, the most logical choice would be (3) 5, as it is the same value as n(A).

Explanation

The question states that n(A) = 5, which means that there are 5 elements in set A. The value of n(B) is asked. Since no information is given about the relationship between sets A and B, we cannot determine the exact value of n(B). However, since the options given are 10, 4, 5, and 25, the most logical choice would be (3) 5, as it is the same value as n(A).

10.

மற்றும்

என்க .

என்றவாறு அமைந்த சார்பு

என்பது (1) ஒன்றுக்கு ஒன்றான சார்பு 2) மேல் சார்பு (3) இருபுறச்சார்பு (4) சார்பு அல்ல

(1)

(2)

(3)

(4)

The given question is asking for the definition of the term "சார்பு" (meaning "relation" in English). The correct answer is option (1) which states that it refers to a one-to-one relation.

Explanation

The given question is asking for the definition of the term "சார்பு" (meaning "relation" in English). The correct answer is option (1) which states that it refers to a one-to-one relation.

11.

ஒரு சமனிச்சார்பை குறிக்கிறது எனில்

(1) (2,4) (2) (4,2) (3) ( 2,2 ) (4) (4,4)

(1)

(2)

(3)

(4)

The given question is incomplete and not readable.

Explanation

The given question is incomplete and not readable.

12.

என்பது N- லிருந்து Z - க்கு வறையறுக்கப்பட்டுள்ளது . f - ன் வீச்சகம் (1)

(2) N (3)

(4) Z

(3)

(4)

(1)

(2)

not-available-via-ai

Explanation

not-available-via-ai

13. N

= 64 எனில் n (A) = (1) 6 (2) 8 (3) 4 (4) 5

(1) (1)

(2)

(3)

(4)

The correct answer is (1) 6. This is because the value of n is given as 64, and option (1) is the only option that matches this value.

Explanation

The correct answer is (1) 6. This is because the value of n is given as 64, and option (1) is the only option that matches this value.

14. A

B எனில் A

B = (1) B (2) A \ B (3) A (4) B \ A

(3)

(4)

(2)

(1)

not-available-via-ai

Explanation

not-available-via-ai

15. A , B ஆகிய இரண்டு கணங்களுக்கு

= (1)

(2) (A UB ) (3) (A nB) (4) ( A' n B' )

(1)

(2)

(3)

(4)

not-available-via-ai

Explanation

not-available-via-ai

16. A , B மற்றும் C ஆகிய மூன்று கணங்களுக்கு B \ (AUC ) = (1) ( A \B ) n (A \ C ) (2 ) ( B \ A ) n ( B \ C ) (3) (B \ A ) n ( A \ C ) (4) ( A \ B ) n ( B \ C )

(2)

(3)

(4)

(1)

The correct answer is (2) (B \ A ) n ( B \ C ). This is because the symbol "\" represents the set difference, which means removing the elements that are common between the two sets. In this case, (B \ A) means removing the elements that are in both B and A, and (B \ C) means removing the elements that are in both B and C. The intersection of these two sets gives the elements that are in B but not in both A and C.

Explanation

The correct answer is (2) (B \ A ) n ( B \ C ). This is because the symbol "\" represents the set difference, which means removing the elements that are common between the two sets. In this case, (B \ A) means removing the elements that are in both B and A, and (B \ C) means removing the elements that are in both B and C. The intersection of these two sets gives the elements that are in B but not in both A and C.

17. கீழே கொடுக்கப்பட்டுள்ளவைகளில் தவறான கூற்று எது ? (1) A \ B = A n B' (2) A \ B = A n B (3) A \ B = ( A U B ) n B' (4) A \ B = ( A U B ) \ B

(2)

(3)

(4)

(1)

not-available-via-ai

Explanation

not-available-via-ai

18. ஒரு சார்பின் வீச்சகம் ஓருறுப்பு க் கணமானால் , அது ஒரு (1) மாறிலிச்சார்பு (2) சமனிச்சார்பு (3) இருபுறச்சார்பு (4) ஒன்றுக்கு ஒன்றான சார்பு

(1)

(2)

(3)

(4)

The correct answer is (1) மாறிலிச்சார்பு. This is because the question is asking for the type of relationship that is indicated by a particular வீச்சகம் (Veechakam). Among the given options, மாறிலிச்சார்பு (Mārilicchārbu) is the correct term to describe this type of relationship.

Explanation

The correct answer is (1) மாறிலிச்சார்பு. This is because the question is asking for the type of relationship that is indicated by a particular வீச்சகம் (Veechakam). Among the given options, மாறிலிச்சார்பு (Mārilicchārbu) is the correct term to describe this type of relationship.

19. A மற்றும் B என்பன இரு கணங்கள் என்க . A

B =A என்பதற்கு தேவையான மற்றும் போதுமான கட்டுப்பாடு (1) B

A (2) A

B (3) A

B (4) A

B =

(1)

(2)

(3)

(4)

The correct answer is (1) B A. This is because the question states that A and B are two given numbers, and the equation A B = A needs to be satisfied. In order for this equation to hold true, B needs to come before A in the equation. Therefore, the correct arrangement is B A.

Explanation

The correct answer is (1) B A. This is because the question states that A and B are two given numbers, and the equation A B = A needs to be satisfied. In order for this equation to hold true, B needs to come before A in the equation. Therefore, the correct arrangement is B A.

20.

என கொடுக்கப்பட்டுள்ள சார்பு , ஒரு (1) மேல் சார்பு (2) மாறிலிச் சார்பு (3) ஒன்றுக்கு ஒன்றான சார்பு (4) சார்பு அல்ல

(4)

(3)

(2)

(1)

not-available-via-ai

Explanation

not-available-via-ai