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
Ideal solutions:- “Ideal solutions are those solutions which obey the Raoult’s law under all the conditions of temperature and concentration&rdquo
SOLUTIONS
A solution is a homogeneous mixture to two or more chemically non reacting substance whose composition can be varied with in certain lim
Question 1: Solve the equation x2 + 3 = 0
Answer 1: The given quadratic equation is x2 + 3 = 0
On
Question 1: Find the principal and general solutions of the equation tan x=3
2.Osmosis and osmotic pressure:-
Osmosis may be defined as “The process of passage of solvent from solution of lower concentration into the
Properties of colloidal solutions:-
The main properties of the colloidal solutions are discussed below:-
Physical properties:-
Preparation of colloidal solutions:-
The Lyophoilic sols are prepared simply by mixing the dispersed phase in the dispersion medium.
Bu
Question 1: Evaluate: i18
Azeotropes and Azeotropic Mixtures:- A mixture of two miscible liquids can be separated by the method of fractional distillation due to difference in their bo
Solution is that type of colloidal system which has solid as dispersed phase and liquid as dispersion medium e.g. paints, muddy water etc. Sols may be classified as Lyophilic
Purification of colloidal solutions:-
The colloidal solution when prepared generally contain excessive amount of electrolytes and some other solub
Buffer Solutions:-
Buffer is a substance which resist the change in its pH value. Even when small amount of acid or base are added to it.
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
Balancing of REDOX REACTION
Two types of Balancing of REDOX REACTION:
There are two very important met
Question 1: Find the radian measures corresponding to the following degree measures:
(i) 25° (ii) – 47° 30' (iii) 240° (iv) 520&d
Question 1: sin2 (π/6) + cos2(π/3)-tan2(π/4)=(-1/2)
Answer 1: L.H.S.=sin2 (&p
Question 1: Prove the following by using the principle of mathematical induction for all n ∈ N:
1 + 3 + 32 + … + 3n-1
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
Question 1: Find the modulus and the argument of the complex number z=-1
Question 1:
Find the transpose of each of the following matrices:
Question 1: Solve the given inequality graphically in two-dimensional plane: x + y < 5
Answer 1: The graphical representation o
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: If nC8 = nC2, find nC2
Answer 1: It is known that,
Question 1: Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2.
Answer 1:
x ≥ 3 …&hel
Question 1: Write the first five terms of the sequences whose nth term is an= n(n + 2).
Answer 1: an
Question 1: Find the sum of odd integers from 1 to 2001.
Answer 1: The odd integers from 1 to 2001 are 1, 3, 5 …1999, 2001.
Question 1: Find the 20th and nth terms of the G.P. 52,
Question 1: Find the sum to n terms of the series 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + …
Answer 1: The g
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