We have,  M = {2, 6, 9, 11, 13} and N = {1, 6, 11,15, 19, 23} Now,  M∪N = {2, 6, 9, 11, 13}​​​​​∪​​{1, .....

a 21 = 3 ( it is the element of second row  and 1st .....

If the matrix has 6 elements which can be put in following orders: No. of rows X no. of column = 6                            1 X 6 = 6             .....

SP = MP -  discount % of MP  = 1000 - 10 / 100 x 1000  = 900 SP with VAT = Rs. 900 + Rs. 150                         = Rs. 1050          .....

MP = CP +25% of CP         = CP + 0.25CP        = 1.25CP Again, SP = MP  - 10% of MP            = MP - 0.1MP        = 0.9MP      .....

गर्ने भन्ने हनुमान् पगरी गुथ्ने ढेडुः गर्ने भन्ने हनुमान् पगरी गुथ्ने ढेडु भनेझैँ कक्षाकोठा .....

इन्द्रका अगाडि स्वर्गको बयानः इन्द्रका अगाडि स्वर्गको बयान भनेझैँ गणित शिक्षकका अगाडि ९ .....

Here,  The degree of the first term (2x3) = 3 The degree of the second term (x2y2) = 2 + 2 = 4 The degree of the third term (y) = 1 Hence, the degree of given polynomial is the highest degree of the term which is .....

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If x - 2, x - 6 and 2x + 3 are in geometric series. Then their ratio will be same. so,   x-6x-2= 2x+3x-6 or,(x - 6)2 = (2x + 3) (x - 2)   or, x2 - 12x +36 = 2x2 -4x +3x - 6 or, x2 + 11x - 42 = .....

f(x) = 3x3 + 3x + k We know, f(-1) = 0                 .....

We have,  f(x) = x3 - 6x2 - x + 6  Now, keeping x = -1, we get, f(-1) = (-1)3 - 6(-1)2 - (-1) + 6          = -1 - 6 + 1 + 6          = 0 Here, f(-1) = 0. So, by the factor .....

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Given,  First term (a) = 84  Common difference (d) = - 6 (using minus sign because the series is a decreasing series) Nth term = 0  Then, we have  tn = a + ( n - 1 ) d or, 0 = 84 + ( n - 1 ) x ( -6 ) or, - 84 = ( .....

Here,  x - 3, 2x + 1 and 4x - 3 are in A.P. In AP, the difference between the terms is equal.  So, (2x + 1) - (x - 3) = (4x -3) - (2x + 1) or, 2x + 1 - x + 3 = 4x - 3 - 2x - 1 or, x + 4 = 2x - 4 or, 2x - x = 4 + 4 So, x = .....

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Trigonometry comes from the two roots, trigonon (or “triangle”) and metria (or “measure”). The study of trigonometry is thus the study of measurements of triangles. Mainly it deals with the relationship that involve lengths .....

Total number of cards ( n(T) ) = 52  Total number of ace ( n(A) ) = 4 Total number of  '2' of spades ( n(2) ) = 1 Total number of  '10' of a black suit ( n(10) ) = 2 i.) Probability of getting an ace .....

Meteorology is the science that focuses on the Earth's atmosphere. People who study meteorology are called meteorologists. Meteorologists record air pressure, wind speed and direction, temperature, humidity, .....

Cerebrum is the principal and most anterior part of the brain in vertebrates, located in the front area of the skull and consisting of two hemispheres, left and right, separated by a fissure. It is responsible for the integration of complex sensory .....

Bakelite is made by the reaction between formaldehyde and phenolic materials at high temperatures. The substance is hard, infusible, and chemically resistant (the type known as thermosetting plastic). …known by the trademarked name .....

Catalysts are the chemical compounds which alternate the rate of the chemical reaction. Those catalyst which increases the rate of a chemical reaction is called a positive catalyst and those catalyst which decrease the rate of chemical reaction is .....

Power inverter or simply inverter is an electronic device which is used to convert low voltage DC current (such as 9 or 12 volts) to a high voltage AC current. For example, when camping, you might use an inverter to power 120-volt AC .....

Look at the above figure for concave and convex lens. The first one is concave lens and second one convex lens. You can clearly see that the focal length of concave lens is negative and that of convex lens is positive. As we know, power .....

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(1 - a2)(1 - b2) + 4ab = 1 -  b2 - a2 + a2 b2 + 4ab = 1 - ( b2 + a2 - 2ab) +  a2 b2 + 2ab     {(a - b)2 =  a2 - 2ab + b2 } = 1 - (a - .....

m2 + 18mn + 45n2 = m2 + (15 + 3)mn + 45n2 = m2 + 15mn + 3mn +45n2 =m(m + 15n) + 3n(m + 15n) = (m +15n) (m + .....

x+ 2xy + 3y4x + 8xy + 12y Taking 4 common from the term of denominator. =   x+ 2xy + 3y 4(x + 2xy + 3y) = 1 / .....

p2-25q2 = p2 - 5q2                                   We have, a2 - b2 = (a - b) (a + .....

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Now,   x2+1x2 = x-1x2- 2 x . 1x     (∵ a2 - b2 = (a + b)2 - 2ab) = 42 - 2 = .....

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Here,  x = 10 and y = 15 Now,  x ⨉ y = 10 ⨉ 15 = .....

Wheel and axle A wheel and axle is a type of simple machine, which makes our work easier and faster. It is a combination of two cylinders of different radii fitted one into another so these two part rotate together and transfers force from one to .....

 The lever in which the load lies in between the fulcrum and effort is called second class lever.   The second class lever allows a large load to be lifted by a smaller effort.  The closer you move the load to the fulcrum ,it is .....

Temperature is the  specific degree of hotness or coldness of  the body.  Temperature is measured with the help of thermometer. The units of temperature are celcius, fahrenheit and .....

cosθ = 4/5 and b = 8 We have, cosθ = b / h                           or, 4 / 5 = 8 / h             or, h = .....

The motion of an object moving in a curved path is called curvilinear motion. Some examples of curvilinear motion are jeep traveling in curved roadways, large sea waves, a ball thrown in a curved path, etc.           .....

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x + x of 50% = 381  or, x + (50/100) ⨉ x  = 381 or, x + x/2 = 381 or, 3x/2 = 381 or, x = .....

मान्छेले भाग्य कसरी बलियो बनाउन सक्छ ? पुन्टेले साहुका घरमा गएर के गर्यो ? पुन्टेले आफ्नो .....

A body is said to be at rest if it does not change its position with respect to its surrounding. We can't say the state of motion and rest of anybody without comparing it to the surrounding.  If we are on the seat of a moving bus, we are .....

a. A boy sliding down a slope is a linear motion. The motion in which an object moves along a straight line or a curved line is called linear motion. b. The motion of a rote ping is a circular motion. The motion in which an object moves along a .....

The motion in which an object moves along a straight line or a curved line is called linear motion. For examples, a bullet fired from a gun, a boy sliding down a slope. Fig: Children sliding down a .....

Pulley Pulley ia a metallic or wooden circular disc, which has groove along its circumference over which a rope can pass easily.  Load is attached at one end of the rope and effort is applied at another end.         Fig: .....

Advantage of a screw are as follow. 1. Driving in a screw takes less force expended over a greater period of time than driving a nail into the same material.  ii) The strong, tight bond of screws also makes them resistant to rust by .....

An inclined plane is simply a sloppy surface over which a load can be pushed or pulled up. It is used to push or pull a heavy load with less .....