SureDen
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
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
₳ ∞ ≠
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
Question 1: Prove the following by using the principle of mathematical induction for all n ∈ N:
1 + 3 + 32 + … + 3n-1
Exercise 2.1
Question 1: Find the principal value of cosec−1 (− 1/ 2)
Answer 1:
Test Details
The packing efficiency of the two-dimensional square unit cell shown below
Test Details
A compound MpXq has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below
The empirical formula of the compound, is
Test Details
The arrangement of X- ions around A+ io in solid AX is given in the figure (not drawn to scale). If the radius of X- is 250 pm, the radius of A+ is
Test Details
If the radius of a solid and hollow copper spheres are same which one can hold greater charge &nb
Test Details
What will be the equivalent resistance of circuit shown in figure between points A and D [CBSE PMT 1996]
Test Details
Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are [IIT-JEE 1988; AIIMS 1997; MP PMT
Test Details
Find out the magnitude of the magnetic field at point P due to following current distribution
Test Details
For the solenoid shown in figure. The magnetic field at point P is
Test Details
Figure shows the cress sectional view of the hollow cylindrical conductor with inner radius 'R' and outer radius '2R', cylinder carrying uniformly distributed current along it's axis. The magnetic induction at point 'P' at a distance 3R/2
Test Details
Figure shows the cress sectional view of the hollow cylindrical conductor with inner radius 'R' and outer radius '2R', cylinder carrying uniformly distributed current along it's axis. The magnetic induction at point 'P' at a distance 3R/2
Test Details
Figure shows a square loop ABCD with edge length a. The resistance of the wire ABC is r and that of ADC is 2r.
The value of magnetic field at the centre of the loop assuming uniform wire is
Test Details
An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If Q1, Q2, and Q3 denote the heat absorbed by the gas along the three paths, then
Test Details
An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of PV/RT with P is shown in the diagram. The correct variation will correspond to
Test Details
A metre stick, of mass 400 g, is pivoted at one end displaced through an angle 60o. The increase in its potential energy is
Test Details
A block of mass M slides along the sides of a bowl as shown in the figure. The walls of the bowl are frictionless and the base has coefficient of friction 0.2. If the block is released from the top of the side, which is 1.5 m high, where will the block come to rest ? Given th
Test Details
Six identical balls are lined in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity v collide with the row of 6 balls from left. What will happen
Test Details
As the switch S is closed in the circuit shown in figure, current passed through it is
Test Details
AB is a wire of uniform resistance. The galvanometer G shows no current when the length AC = 20 cm and CB=80cm . The resistance R is equal to
Test Details
Resistances of 6 ohm each are connected in the manner shown in adjoining figure. With the current 0.5 ampere as shown in figure, the potential difference VP – VQ is
Test Details
An ideal ammeter (zero resistance) is connected as shown. The reading of the ammeter is
Test Details
Current flows due north in a horizontal transmission line. Magnetic field at a point P vertically above it directed
Coming Soon...