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The set of principals in a school is :...

The set of principals in a school is :

A

a null set

B

a singleton set

C

an infinite set

D

None of these.

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Let A be the set of all students of class XII in a school and R be the relation, having the same sex on A, and then prove that R is an equivalence relation.

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Mr. Roy, the principal of one reputed school organized a seminar in which he invited parents and principals to discuss the serious issue of diabetes and depression in students. They all resolved this issue by strictly banning the junk food in schools and to introduce healthy snacks and drinks like soup, lassi, milk etc. in school canteens. They also decided to make compulsory half an hour physical activities for the students in the morning assembly daily. After six months, Mr. Roy conducted the health survey in most of the schools and discovered a tremendous improvement in the health of students. After reading the above passage, answer the following: As a student, how can you spread awareness about this issue ?

The principal solution of sec x = 2 is:

Let A be the set of all 50 students of class XII in a school. Let f: A rarr N be the function defined by : f (x) = Roll number of the student x. Prove that 'f' is one-one but not onto.

Principal value of sec^-1 (2) is :

After watching a programme on TV about the adverse effects of junk food and soft drinks on the health of school children, Sonali, a student of Class XII, discussed the issue with the school principal. The principal immediately instructed the canteen contractor to replace the fast food with the fibre and vitamin rich food like sprouts, salad, fruits, etc. This decision was welcomed by the parents and the students. After reading the above passage answer the following question : Give two examples of water-soluble vitamins.

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. The set of A= {u: u epsilon R, u^2 = 49, 2u= 14} is

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  2. The set of A = {x:x epsilon R, x^2 = 25) is

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  3. The set of principals in a school is :

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  4. The set of Girls in a Boys school is

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  5. The set of weak students in a class is :

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  6. (A uu B)^(c) is equal to :

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  7. If f(x) = 2x - 5, then f (0) is :

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  8. The range of f (x) = ( 1 + x^(2))/( x^(2))

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  9. If f(x)=2x-5, then f(1) is

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  10. Suppose A(1), A(2),….,A(30) are thirty sets each with five elements an...

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  11. For any two sets A and B, A - (A - B) equals :

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  12. The domain of definition of the function : f(x)= sqrt(1+ loge (1-x)) i...

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  13. Two finite sets A and B have m and n elements respectively. If the tot...

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  14. If f (x) satisfies the relation : 2 f(x) +f (1 -x) = x^2 for all real ...

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  15. f(x)= 1/([sqrt(|x|-x)]). Domain of the function is :

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  16. Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for s...

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  17. If S is a set with 10 elements and A={(x,y): x,y in S,x ne y}, then th...

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  18. If A and B are subsets of a set X, then what is : (A nn (X -B))uu B eq...

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  19. If V = {x: x+2=0} R= {x: x^2+2x =0} S= {x: x^2+x-2=0}. then for what ...

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  20. What is the total number of proper subsets of a set containing n eleme...

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