Question 1: Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2.
Answer 1:
x ≥ 3 …&hel

Question 1: Solve the given inequality graphically in two-dimensional plane: x + y < 5
Answer 1: The graphical representation o

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: Solve 24x < 100, when (i) x is a natural number (ii) x is an integer
Answer 1: The given inequality is 24x < 100

Question 1: Solve the inequality 2 ≤ 3x – 4 ≤ 5
Answer 1: 2 ≤ 3x – 4 ≤ 5
⇒ 2 + 4 ≤ 3x &

Question 1: Find the radian measures corresponding to the following degree measures:
(i) 25° (ii) – 47° 30' (iii) 240° (iv) 520&d

Question 1: How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
Answer 1: 3-digit numbers h

Question 1: How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?

Property II:
(i) sin (sin-1 x) = x= cos (cos-1 x), &nb

Question 1: Let A = {1, 2, 3… 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, co-do

Question 1:
Let A=

Torque on current loop in a uniform magnetic field:

1. Make correct statements by filling in the symbols C or ₵ in the blank spaces :-
(i) {2, 3, 4} C

1. Decide among the following sets, which sets are subset of one and another:
A { x : x ? R and x satisfy x2 – 8x + 12 = 0}
x2 – 8x + 12 = 0
x2 – 6x – 2

â‚³ ∞ ≠

Question 1: The relation f is defined by f(x)=

Question 1: sin2 (π/6) + cos2(π/3)-tan2(π/4)=(-1/2)
Answer 1: L.H.S.=sin2 (&p

Question 1: Find the principal and general solutions of the equation tan x=3

Question 1: Prove that: 2 cos(π /13)cos(9π /13)+ cos(3π /13)+ cos(5π /13)=0
Answer 1: L.H.S

Question 1: Determine whether each of the following relations are reflexive, symmetric and
transitive:
(i) Relation R in the set A = {1,

Question 1: Show that the function f: R∗ → R∗ defined by f(x) = (1/x) is one-one and onto,
where R

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: Determine whether or not each of the definition of given below gives a binary operation.
In the event that * is not a binary operation,

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

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