DEFINITION
If a function is one to one and onto from A to B, then function g which associates each element y ∈ B to one and only one eleme
Question 1: Let f: {1, 3, 4} → {1, 2, 5} and g: {1, 2, 5} → {1, 3} be given by f = {(1, 2), (3,
5), (4, 1)} and g = {(1, 3), (2, 3), (5,
Question 1: Find the inverse of each of the matrices, if it exists.
Question 1: Find the inverse of each of the matrices, if it exists.
Question 1: Let f: R → R be defined as f(x) = 10x + 7. Find the function g: R → R such that
gof = fog = IR.
Answ
Question 1: Examine the consistency of the system of equations.
x + 2y = 2
2x + 3y = 3
Answer
The
Question 1: Express the given complex number in the form a + ib: (5i)(-3/5i)
Answer 1:
(5i)(-3/5i)=-5 x (3/5) x i x i
Property II:
(i) sin (sin-1 x) = x= cos (cos-1 x), &nb
Exercise 2.1
Question 1: Find the principal value of cosec−1 (− 1/ 2)
Answer 1:
Question 1: Prove that 3sin−1x = sin−1 (3x − 4x3 ), x ∈ [− (1/2) , (1/2)].
An
Property VIII:
i
Question 1: Find the value of cos −1 (cos (13π/6)).
Answer 1:
Given that cos &minu
Question 1:
Prove that the determinant
Question 1: Let A=0
ASSIGNMENT (MATHS)
Characteristics of Equilibrium constant:-
Equilibrium constant is applicable only when concentration of reaction & product have attained
Reversible and Irreversible Process
(1) Reversible process : A reversible process is one which can be reversed in such a way that
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