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The set phi is...

The set `phi` is

A

`phi`

B

U

C

U'

D

None of these

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Given a non-empty set X, let * : P(X)xxP(X)rarrP(X) , be defined as A * B = (A – B) cup (B – A), forall A, B in P(X) .Show that the empty set phi is the identity for the operation * and all the elements A of P(X) are invertible with A^–1 = A .

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset of A is again chosen. Find the number of ways of choosing P and Q, so that (i) P capQ contains exactly r elements. (ii) PcapQ contains exactly 2 elements. (iii) P cap Q=phi

If tan theta=1/2 and tan phi=1/3 , then the value of (theta + phi) is :

Power set of the set A = {phi, {phi}} is

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Consider the following set : phi, A= {1, 3}, B = {1, 5, 9},C= {1, 3, 5, 7, 9} . Insert the correct symbol sub or cancel (sub) between pair of sets : A.........B.

Consider the following set : phi, A= {1, 3}, B = {1, 5, 9},C= {1, 3, 5, 7, 9}. Insert the correct symbol sub or cancel (sub) between pair of sets : A.........C.

Consider the following set : phi, A= {1, 3}, B = {1, 5, 9},C= {1, 3, 5, 7, 9}. Insert the correct symbol sub or cancel (sub) between pair of sets : B.........C.

Let A = {phi, {phi},2,{2,phi},5}. State whether the following is true of false? Justify your answer . phi in A .

Solve (dy)/(dx)+y phi'(x)=phi(x).phi'(x), "where" " "phi(x) is a given function.

OMEGA PUBLICATION-SAMPLE QUESTIONS PAPER - 5 (PUNJAB)-Section C
  1. The set phi is

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  2. A market research group conducted a survey of 1000 consumers and repor...

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  3. The function 't', which maps temperature in Clesius into temperature F...

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  4. Find the degree measure of the angle subtended at the centre of a circ...

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  5. Prove that tan A + cot A = 2 "cosec 2A".

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  6. Prove the following by using the principle of mathematical induction f...

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  7. Find n if ""^(n-1)P(3) : ""^(n)P(4) = 1:16.

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  8. In an A . P , if mth Term is n and nth term is m , where m nen , f...

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  9. The 4th term of a G.P. is square of second term and first term is -3. ...

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  10. Find the equation of the circle passing through the point (2,4) and ...

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  11. Find the co-ordinates of the focus, axis, the equation of the directri...

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  12. Evaluate : lim(x rarr 0)""(sin 5x)/(tan 3x).

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  13. Tickets are numbered from 1 to 100. One ticket is picked up at random....

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  14. If |z(1)| = |z(2)| = ….. |z(n)| = 1, prove that |z(1) + z(2) + …….. z(...

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  15. Express 1+isqrt3 in polar form.

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  16. A manufacture has 600 litres of a 12% solution of acid .How many litr...

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  17. Solve -2 - (x)/(4) le (1+x)/(3), 3-x lt 4 (x-3).

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  18. Use delta method to find the derivative of x sin x.

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  19. Find the maximum value of sin x cos x.

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  20. The mean and variance of 8 observation are 9 and 9.25 respectively. If...

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