As we know that
Let the distance x and time taken be t.
Now According to the question,
And
From (1) we have
Putting this on (2), we get
Since speed can never be negative, we choose,
Hence the speed of the train is 40 km/hour.

Let the points (1, 5), (2, 3), and (- 2,-11) be representing the vertices A, B, and C of the given triangle respectively.
Let A = (1, 5), B = (2, 3) and C = (- 2,-11)
So The distance AB :
The distance BC :
The distance CA :
As we can see that
AB + BC ≠ CA
Therefore, the points (1, 5), (2, 3), and ( - 2, - 11) are not collinear.

by euclid division lemma,we know that
If a and b are two positive integers, then,by euclid division lemma
a = bq + r, 0 r b Let b = 3
Therefore, r = 0, 1, 2
Therefore, a = 3q or a = 3q + 1 or a = 3q + 2
If a = 3q:
If a = 3q + 1 :
If a = 3q + 2 :
Therefore, the square of any positive integer is either of the form 3m or 3m + 1.

Let a be any positive integer
a=6q+r where 0 < or = r < 6
put r=1:
a=6q+1
which is an odd integer
r=3:
a=6q+3
which is an odd integer
r=5:
a=6q+5
which is an odd integer
therefore, any positive odd integer is of form 6q+1,6q+3 or 6q+5, where q is some integer.

Two of the zeroes of the given polynomial are .
Therefore two of the factors of the given polynomial are and
is a factor of the given polynomial.
To find the other factors we divide the given polynomial with
The quotient we have obtained after performing the division is
(x+1)2 = 0
x = -1
The other two zeroes of the given polynomial are -1.

Advantages of sexual reproduction:
1. In sexual reproduction, more variations are produced. Thus, it ensures the survival of species in a population.
2. The newly formed individual has characteristics of both the parents.
3. Variations are more viable in sexual mode than in asexual one. This is because, in asexual reproduction, DNA has to function inside the inherited cellular apparatus.

Let the speed of the train and bus be u and v respectively
Now According to the question,
And
Let,
Now, our equation becomes
And
By Cross Multiplication method,
And Hence,
Hence the speed of the train and bus are 60 km/hour and 80 km/hour respectively.

Let the number of days taken by woman and man be x and y respectively,
The proportion of Work done by a woman in a single day
The proportion of Work done by a man in a single day
Now, According to the question,
Also,
Let,
Now, our equation becomes
And
By Cross Multiplication method,
So,

Nuclear energy has the following advantages:
(i) It's calorific value is much larger than conventional fossil fuels.
(ii) By regulating rate of nuclear fission energy can be generated at very high rate.
(iii) Nuclear fission does not form any smoke.
(iv) Once fully loaded a nuclear reactor can produce high amounts of energy for very long time at a stretch without having to be reloaded.

Alveoli
Nephron
(i) Alveoli is the functional unit of the lungs.
(ii) Nephron is the functional unit of the Kidneys.
(ii) A lung has about 300 million alveoli.
(ii) A kidney has about a million nephrons.
(iii) Alveoli provides a very large surface for the exchange of gaseous materials to take place.
(iii) The Surface are of Nephrons is not very large. ...

The denominator is of the form 2a x 5b where a = 0 and b = 5. Therefore the given rational number will have a terminating decimal expansion.

Corrosion is a process in which metals deteriorate due to chemical reaction with moisture ,air and chemicals.Rusting of iron is a major example of corrosion.Iron corrodes in presence of moisure and air.

We know that nitrogen is a inert gas and does not react with oil and fat containing food.Whereas, other gases like oxygen react with oil and fat containing food and make them rancid.Hence, to remove oxygen and prevent food from racidity food items are flushed with nitrogen.

To prevent iron from rusting paint is applied on iron articles.After applying paint iron articles are not in contact to moisture and air and hence rusting is prevented.

A shiny brown coloured element is copper (Cu) and on heating in air it becomes black in colour because of formation of copper oxide(CuO).

The electron dot structure of is:

Amount in the beginning = Rs. 10000
Interest at the end of 1st year at rate of
is of 10000 =
Therefore, amount at the end of 1st year will be
= 10000 + 800
= 10800
Now,
Interest at the end of 2nd year at rate of
is of 10800 =
Therefore,, amount at the end of 2ndyear
= 10800 + 864 = 11664
Since, each subsequent term is not obtained by adding a unique number to the previous term; hence,...

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