3sinP+4cosQ=6 -----(1)

4sinQ+3cosP=1 -----(2)

square and add both the equations,

so we get,

p+q=150

now apply theorem of sum of angles of triangle,

P+Q+R=180

we know that, P+Q=150

so,

R=180°-150°

R=30°

Therefore,

R=π/6

OR

The correct answer is:

• Roman people were polytheists and used to worship several gods and goddesses. Their popular deities were Jupiter, Mars, Juno, Minerva and Isis.
• One of the most important religious sects practiced in the Roman Empire from about the first to the fourth century was Mithraism.
• The other great religious tradition in the empire was Judaism. It considered Jehova as the creator of the universe.
• But Judaism was not a monolith either, and there was a great deal of diversity within the Jewish communities of late antiquity. Thus, the ‘Christianisation’ of the empire in the fourth and fifth centuries was a gradual and complex process.

 A nuclear family is a group of persons consisting of husband, wife and their unmarried children. This is a basic grouping of mates and their offspring/s.
 The joint family usually have three or more generations. But two or more colateral families living together in a common residence and sharing a common kitchen and property also form a joint family.

Polytheism is the worship of or belief in multiple deities, which are usually assembled into a pantheon of gods and goddesses, along with their own religions and rituals. Polytheism is a type of theism. Within theism, it contrasts with monotheism, the belief in a singular God, in most cases transcendent.

The factors responsible for the decline of the Roman Civilization are as followings :
1. Wars and Luxurious Life : Repeated wars and conquests bent and broke the back of democracy. The luxurious and easeful way of living demoralised the ruling class.
2. Slave Revolts : The number of slaves had out numbered the free men. They grew rebellious and could not be quelled by the ruling class.
3. The Weakness of Emperors : The Roman emperors being incompetent and weak could not face the invaders.
4. Spread of Christianity : The Christian religion gave meassage of love and equality. It weakened the rule of emperors since it created rebellions feeling among the slaves.
5. Raids and invasions : Invaders and raiders shattered the Roman Civilization.

In it political sense, ‘absolutism’ is a theory of legislative authority. It holds that the ruler, usually the king, has exclusive legal authority, and consequently that the laws of state are nothing other than expressions of his will (see voluntarism).

Late antiquity in European history refers to the period from the late third century to the mid seventh century AD. This was the period marked by the collapse of the Western Roman empire.

Meaning of commission agent in English. someone who sells a company's products and receives a part of the money paid for the goods for doing this: Such business is conducted through commission agents who sell to their families and friends.

CBSE has rationalized the syllabus with the help of suggestions from NCERT and the same has been notified by a new CBSE notification as well.

The CBSE syllabus has been reduced but care has been taken so that the learning outcomes remain the same and the students do not miss out on learning core concepts in various subjects.

Click on the links to get the syllabus

<a href="http://cbseacademic.nic.in/Revisedcurriculum_2021.html">http://cbseacademic.nic.in/Revisedcurriculum_2021.html</a>

Variables and data types in python as the name suggests are the values that vary. In a programming language, a variable is a memory location where you store a value. The value that you have stored may change in the future according to the specifications.

Answer : Angle will be 60^o

Explanation:

According to the formula of  and  we can write it as following-

 [+2pq and -2pq will be cancel]

Theta

Let θθ be the angle between the two vectors A and B such that, |A| = |B|.

Therefore, R²=A²+B²+2ABcosθ 

=>A²=A²+A²+2AAcosθ 

[∵ |A| = |B| = |R|]

=>A²=2A²+2A²cosθ 

=>cosθ=−1/2

=>θ=120∘

If the direction of the resultant force does not change, it means the angle between them remain the same.

Assuming the angle was initially 45 degrees, it will remain the same

Tan 45 = 2p/2p = 1

First force is doubled, it becomes = 4p

20N is added to the second force, it becomes = 2p + 20

Tan 45 = 4p/(2p + 20) = 1

4p = 2p + 20

2p = 20

p = 10 N

Economics is a science that studies human behavior which aims at allocation of scarce resources in such a way that consumer can maximise their satisfaction, producers can maximise their profits and society can maximise its social welfare. It is about making choice in the presence of scarcity.

Father of Economics Adam Smith provided wealth definition of economics( Book- The Wealth of Nations, 1776):- Economics is an enquiry into the factors that determine the wealth of a country.