Day - 3(15/6/24)
1) The diagram represents a relation from set A to set B.
Rwpresent the relation in roster form.
2) 
Write the relation denoted by the adjacent arrow diagram by listing its elements and also write the domain and range of the relation.
3) if pth, qth and rth terms of an AP are respectively a⁻¹, b⁻¹, and c⁻¹, show that, (q - r)bc + (r - p)ca + (p - q)ab = 0.
4) How many terms of the series 1/2 + 1/3 + 1/6+ ....must be taken so that the sum may be -3/2)?
5) Find the sum of 1- 3 +5 - 7 +9 -11+ .... to n terms.
6) How many even numbers are there between 15 and 115? Find the sum of all these numbers.
7) Find the sum of all numbers between 200 and 300 which are multiples 7.
8) If (p+1)th term of an AP be a, find the sum of first (2p+1) terms of the AP.
9) If the 11th term of an AP be 25, find the sum of first 21 terms of the AP.
10) There are (2n +1) terms in an AP. Show that the ratio of the sum of odd terms and the sum of even terms is (n+1): n.
11) find the 99th term of the series 2+7+14+23+34+......
12) How many terms are there in the series 1+ 3+ 6 + 10+ 15 + 21+ ......+ 5050?
Day -2 (13/6/24)
1) The sum of four numbers in AP is 20 and sum of their squares is 120; Find the numbers.
2) The sum of 6 numbers in AP is 345 and difference between the first and the sixth is 55; find the numbers.
3) The fourth term of an AP is thrice the first term and the 7th term exceeds twice the third term by 2. Find the sum of the first 10 terms of the AP.
4) If the sum of the first n terms of an AP is 40, the common differences 2 and the last term is 13, find the value of n.
5) If A={a,b,c,d,e,f}, B={c,e,g,h} and C={a,e,m,n}, find:
a) A∪B b) B ∪C c) A ∪C d) B∩C e) C∩A f) A∩B
6) If A={1,2,3,4,5}, B={4,5,6,7,8}, C={7,8,9,10,11} and D={10,11,12,13,14}, find
a) A∪B b) B∪C c) A∪C d) B∪D e) (A∪B)∪C f) (A∪B)∩C g) (A∩B)∪D h) (A∩B)∪(B∩C) i) (A∪C)∩(C∪D)
7) If A and B are two sets such that n(A)= 27, n(B)= 35 and n(A U B)= 50, find n(A∩B).
8) If A={1,3,5} and B={2,3}, find (A x B) and (B x A). Show that (A x B) ≠ (B x A).
9) If P={a,b,c} and Q={q}, find (P x Q) and (Q x P). Show that (P x Q) ≠ (Q x P).
10) let A ={1,2,3} and B={2,4,6}.
Show that R={(1,2),(1,4),(3,2), (3,4)} is a relation from A to B. Find
a) domain (R)
b) codomain(R)
c) range (R)
Depict the above relation by an arrow diagram.
11) let A={1,2,3,4,5} and B={1, 4, 5}.
Let R be a relation 'is less than' from A to B.
a) List the element of R.
b) Find the domain, co-domain and the range of R.
c) depict the above relation by an narrow diagram.
Day - 1 (10/6/24)
1) Express in the form of A+ iB, where A and B are real: (i+ i²+ i³+ i⁴)/((1+ i). (1)
2) Express (1+ 3i)/(2- 5i) in the form of a+ ib. (1)
3) Find the conjugate of 1/(3+ i). (1)
4) find the modulus of (1+ 2i)/(2- i). (1)
5) Are the numbers (2+ 3i) and (-2+ 3i) conjugate to each other ? (1)
6) If |x + 4/i|= 5, find the value of x. (1)
7) Find the modulus of (x + iy)/(x - iy). (2)
Day- 1
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