Students and Teachers Forum
Given, f(x) = x3 - ax2 - 2x + 2a + 6 g(x) = x - a R = a + 2 Here, f(x) is divided by g(x). x - a = 0 x = a Hence, the remainder is f(a),i.e. f(a) = R a3 - a.a2 - 2a + 2a + 6 = a + 2 a3 - a3 - 2a + 2a + 6 = a + 2 6 = a .....
Given, f(x) = 2x3 + 3x2 + kx + 4 g(x) = x - 2 R = 2(4-k) Here, f(x) is divided by g(x). x - 2 = 0 x = 2 Hence, the remainder is f(2). i.e. f(2) = R 2.23 + 3.22 + k.2 + 4 = 2(4 - k) 16 + 12 + 2k + 4 = 8 - 2k 32 + 2k = 8 - 2k 2k + .....
a) Given, f(x) = 4x3 - 12x2 + 11x - 3 g(x) = x - 1∕ 2 g(x) is divided by f(x). x - 1 ∕ 2 = 0 x = 1 ∕ 2 Hence, the remainder is f( 1 ∕ 2). f(1 ∕ 2) = 4 . (1 ∕ 2)3 - 12.(1 ∕ 2)2 + .....
The De-Morgan's Law states that, (AUB)' = (A'∩B') So, (AUB)' U (A'∩B') = (AUB)' U (AUB)' = (AUB)' Hence, none of the answer .....
The probability of head appearing on the fifth toss = 1/2 [Since coins have two sides, head and .....
When f(x) is divided by x - k, then the remainder is given by, R = f(k). So, when f(y) is divided by y - 1/2, the remainder, R = f(1/2) = (1/2)3 - a. (1/2)2 - 2.(1/2) + 1 = 1/8 - a/4 - .....
Pollution is the process of making land, water, air or other parts of the environment dirty and not safe or suitable to use. There are various type of pollution. 1) Land pollution 2) Water Pollution 3) Air .....
For a forest fire there are many reason like, camp fire, lighting a cigarette etc. Mainly in a summer season where the grass are all dried up it will be very easy to catch a fire. So we must be very careful even if we lit a fire in the .....
Sound need medium to travel i.e. Solid, liquid, air. Without these medium sound cannot travel. So we cannot use .....
The important functions of complex permanent tissues are:
Xylem is the complex tissue which is concerned with the conduction of water, storage and support. The phloem is concerned with the distribution of the photosynthate between the .....The cell is the basic structural, functional, and biological unit of all known living organisms. A cell is the smallest unit of life. Cells are often called the "building blocks of life". The study of cells is called cell .....
Following table shows a detailed information about education qualification for the teaching profession.
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Let AB be the diameter of pond and CD be the height of bamboo. So, CD = 30m, ∡A = 30o & ∡B = 60o. Now, in right angled triangle ACD, Tan30o = CD/AC .....
Here, We need to find 40 / 11. For this look below: 11) 40 ( 3 - 33 .....
Nepal followed the traditional three-tier sixteen-year education system. The system allocated ten years to school education, four years to college level studies - two years each for intermediate and bachelor program and two to the Master's .....
Let first term of GP be a & common ration be r. Then, t2 = ar1 [ Since, tn = arn-1. ] or, 9 = ar ......................(i) And, t5 = ar4 or, 343 = .....
Let first term of GP be a & common ration be r = 3. Then, t3 = ar2 [ Since, tn = arn-1. ] or, 36 = ar2 or, 36 = a.32 or, a = 9. Which is your .....
Litmus, phenolphthalein and methyl orange are the common indicators which determine the acidic and basic nature of a substance by a characteristic change in their colour. The ordinary indicators do not give information about the strength of acidic .....
Violence against women and girls is a grave violation of human rights. Its impact ranges from immediate to long-term multiple physical, sexual and mental consequences for women and girls, including death. It negatively affects women’s .....
The present continuous tense indicates the continuity of an action which is going on at the present moment. Form: Subject + is/are/am + -ing form of the verb. An interrogative sentence in the present continuous tense has the following .....
Question is unclear. Please post .....
a) Here are the steps 1. Draw a the given figure in your copy. 2. Draw a perpendicular line through the point P on the given line. 3. Measure the length of arc from the intersecting point of line and perpendicular. 4.Then, Cut the .....
Constitution is the body of rules according to which any state is governed. In other words, it is the fundamental sets of the rules that govern the country. Constitution is the supreme law of the nation. It frames the overall structure of a .....
It is said that Britain has no written constitution until this time. The constitution there exists in an abstract sense. It comprises a host of diverse laws, practices and conventions that have evolved over a long period of time. But, it is .....
Constitution is the supreme law of each State. It lays down rules regarding the organization, powers and functions of government. It also defines the basic features of the State and the relation between the citizens and the State. A conventional .....
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 #include .....
#include <stdio.h> int main() { int a, b, x, y, t, gcd, lcm; printf("Enter two integers"); scanf("%d%d", &x, &y); a = x; b = y; while (b != 0) { t = b; b = a % b; .....
Let the coordinates of the circumcentre of the triangle be (x, y). Circumcentre of a triangle is equidistant from each of the vertices. Distance between (-3, 0) and (x, y) = Distance between (0, 9) and (x, y) or,√[(x + 3)2 + (y - 0)2] .....
A sample banner is presented below. With the help of this, prepare a catchy banner in your own .....
The present speaker of the House of Representatives is Krishna Bahadur Mahara. The deputy speaker is Shiva Maya Tumbahamphe. The speaker and deputy speaker have their own roles in the house of representatives. Their roles are .....
Let at distance y from the fulcrum at the RHS the load of 10N should be keep to balance the given lever. So, iv) Sum of clockwise moment = anticlockwise moment or, 10cm ⨯ 10N + 30cm ⨯ 30N + ycm ⨯ .....
- You need to mention whether any of your family members or relatives might have gone for foreign employment. - You should also mention how is the utilization of remittance sent by them. I think the remittance has not been utilized .....
Relative density means the ratio of the substance to that of water. Relative density is the ratio of the density of that substance by density of water i.e. 1kg/cu. meter . So mercury is 13.6 times heavy than water or it has 13.6 times more density .....
a) Let first term of GP be a & common ration be r. Then, t3 = ar2 [ Since, tn = arn-1. ] or, 4 = ar2 ......................(i) And, t8 = ar7 or, 128 = .....
We know that parents are most responsible to protect the rights of their children. They should send them to school as right to education is the rights of children. The family should care for the children. The family should provide a nutritious .....
Here, Sin2θ - 2cosθ + 1/4 = 0 or, 1 - cos2θ - 2cosθ + 1/4 = 0 or, 4cos2θ + 8cosθ - 5= 0 or 4cos2θ + 10cosθ - 2cosθ - 5= 0 or, .....
Here, tanθ + tan2θ = tan3θ or, tanθ + tan2θ = tan(θ + 2θ) or, tanθ + tan2θ = ( tanθ + tan2θ)/( 1 - .....
Here, cos2x + cos3x = sin3x/2 + sinx/2. or, 2cos5x/2 . cosx/2 = 2 sinx.cosx/2 [ Since, CosC + CosD = 2Cos(C+D)/2.Cos[(C-D)/2 & SinC + SinD .....
‘डाक्टर अङकल’ कथाकार आत्माराम शर्मा पुडासैनीद्धारा रचित कथा हो । यस कथामा कथाकारले एउटा .....
A dialogue between two friends Hari and Pari about the celebration of democracy is prepared below: Hari : Hi good morning. Pari : Good morning Hari. How are things with you? Hari : Not so bad. I am in confusion on how to celebrate democracy .....
UN General Assembly Palermo Protocol a) To prevent and combat trafficking in persons, paying particular attention to women and children; b) To protect and assist the victims of such trafficking, with full respect for their human rights;and c) To .....
1.Discount amount = Discoun% of MP 2.TAX(VAT) amount= SP including VAT - Price after discount(SP) 3.VAT% = VAT amount / Price after discount x 100% 4.Final SP( price with VAT) = Price after discount(SP) + VAT .....
Here, a) 2/5 5) 20 (0.40 -20 _________ 0 Thus, 2/5 = .....
Here, Principal = P = Rs.8000 Time = T = 3 years Rate = R = 13/2 % = 6.5 % Here, Simple Interest, I = PTR / 100 And, Amount, A = P + .....