Let f( x ) = ax3 + 2x2 - 3 and g ( x ) = x2 - px + 4 when they are divided by x - 2 reminder R = f ( 2 ) and g ( 2 ) respectively. Now use f ( 2 ) = g ( 2 ) and find the value of .....

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 + .....

Similarly try for b in the same .....

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 .....

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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 - .....

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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:

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 .....

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 .....

Girl trafficking is an inhuman activity. It is against the law. It is the violation of human rights. Mostly, the rights of women are violated. It creates serious injuries and lasting health problems. The victims may also contract .....