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All questions of September Week 1 for Class 10 Exam

Can you explain the answer of this question below:
If 7sin2x + 3cos2x = 4 then , secx + cosecx =
  • A:
  • B:
  • C:
  • D:
The answer is a.

Gunjan Lakhani answered
7sin2x+3cosx=4
7sin2x+3(1-sin2x)=4
7sin2x+3-3sin2x=4
4sin2x=4-3
4sin2x=1
sin2x=¼
sinx=½
Cosec x=1/sinx=2
Cos x= 
Sec x= 1/cos x= 
Cosec x + sec x=2+ 

The industries which have heavy types of raw material are called
  • a)
    light industries
  • b)
    market
  • c)
    both (a) and (b)
  • d)
    none of these
Correct answer is option 'D'. Can you explain this answer?

Rimjhim reddy answered
D) none of these

Heavy industries are those that involve the production or processing of heavy types of raw materials. These industries are characterized by their large-scale operations, capital-intensive nature, and high levels of mechanization. Examples of heavy industries include steel production, cement manufacturing, and shipbuilding. Light industries, on the other hand, typically involve the production of smaller consumer goods and require less capital investment and raw materials. Examples of light industries include textile production, food processing, and electronics manufacturing.

If 7sin2x + 3cos2x = 4 then , secx + cosecx =
  • a)
  • b)
  • c)
  • d)
Correct answer is 'A'. Can you explain this answer?

Naina Sharma answered
7sin2x+3cosx=4
7sin2x+3(1-sin2x)=4
7sin2x+3-3sin2x=4
4sin2x=4-3
4sin2x=1
sin2x=¼
sinx=½
Cosec x=1/sinx=2
Cos x= 
Sec x= 1/cos x= 
Cosec x + sec x=2+ 

Which one of the following factors plays the most important role in the location of an industry in a particular region?
  • a)
    Raw material
  • b)
    Market
  • c)
    Least production cost
  • d)
    Transport
Correct answer is option 'C'. Can you explain this answer?

Kiran Mehta answered
All the other factors only contribute to lowering the production costs. Raw material, if readily available, doesn't need to be transported and hence can lower the cost, and transport can either be inexpensive or expensive, and the presence of market also results in absence or presence of the need for transport.

Which one of the following cities has emerged as the ‘electronic capital’ of India?
  • a)
    Delhi
  • b)
    Kolkata
  • c)
    Bengaluru
  • d)
    Hyderabad
Correct answer is option 'C'. Can you explain this answer?

Gowtham Vatti answered
Bengaluru is called electronic capital of India because it plays a maximum role as the nation’s leading information technology (IT) exporter. t is one of India’s largest electronic/IT industrial parks, which stretches over 800 acres (3.2 km�). Indian technological organisations such as ISRO, Infosys, Wipro, Biocon and HAL are headquartered in this silicon valley city. It also has many software industries, aerospace, telecommunications and heavy industries. Many reputed educational institutions like Indian Institute of Science (IISc), Indian Institute of Management (Bangalore) (IIMB), International Institute of Information Technology, Bangalore (IIITB), National Institute of Fashion Technology, Bangalore, National Institute of Design, Bangalore (NID R&D Campus), National Law School of India University (NLSIU) and National Institute of Mental Health and Neurosciences (NIMHANS). Numerous state-owned aerospace and defence organisations, such as Bharat Electronics, Hindustan Aeronautics and National Aerospace Laboratories are located in the city.



this is for reference u can write your own by this

Which region has the maximum concentration of iron and steel industries?
  • a)
    Jharkhand
  • b)
    Chhota Nagpur plateau
  • c)
    Rourkela
  • d)
    Bhilai
Correct answer is option 'B'. Can you explain this answer?

Crafty Classes answered
Which region has the maximum concentration of iron and steel industries?
The region that has the maximum concentration of iron and steel industries is the Chhota Nagpur plateau in India. Here is a detailed explanation:
Reasons behind the maximum concentration of iron and steel industries in the Chhota Nagpur plateau:
- Availability of raw materials: The Chhota Nagpur plateau is rich in mineral resources, especially iron ore and coal, which are essential raw materials for the production of iron and steel. The region has abundant reserves of high-quality iron ore and coal, making it an ideal location for the establishment of iron and steel industries.
- Proximity to markets: The Chhota Nagpur plateau is strategically located near major industrial centers, such as Kolkata and Jamshedpur, which provides easy access to markets for the iron and steel products. This proximity reduces transportation costs and ensures a steady demand for the products.
- Skilled workforce: The region has a skilled and experienced workforce due to the long history of iron and steel production in the area. The presence of technical institutes and training centers also contributes to the availability of a skilled labor force.
- Infrastructure and support: The Chhota Nagpur plateau has well-developed infrastructure, including transportation networks, power supply, and other necessary facilities. The state governments and the central government provide support and incentives to promote the growth of the iron and steel industries in the region.
- Historical significance: The Chhota Nagpur plateau has a long history of iron and steel production, with the establishment of the Tata Iron and Steel Company (TISCO) in Jamshedpur in 1907. This has created a favorable environment for the growth of the industry and attracted further investments.
Overall, the Chhota Nagpur plateau has the maximum concentration of iron and steel industries in India due to the availability of raw materials, proximity to markets, skilled workforce, infrastructure, and historical significance.

Assertion: Agriculture and industry are not exclusive of each other.
Reason: The key to the decision of the factory location is the least cost.
  • a)
    Both A and R are true and R is the correct explanation of A
  • b)
    Both A and R are true but R is not the correct explanation of A
  • c)
    A is correct but R is wrong
  • d)
    A is wrong but R is correct
Correct answer is option 'B'. Can you explain this answer?

Assertion: Agriculture and Industry are Interconnected
The assertion highlights the interdependence of agriculture and industry. While they may seem distinct sectors, they are actually complementary in many ways.
- Supply Chain Synergy:
- Agriculture provides raw materials for industries, such as food processing, textiles, and biofuels.
- Industries, in turn, supply equipment and technology that can enhance agricultural productivity.
- Economic Development:
- Both sectors are essential for economic growth. A thriving agricultural sector can lead to increased demand for industrial products, while a robust industrial base can improve agricultural efficiency.
Reason: Decision Factors in Factory Location
The reason focuses on the cost considerations in factory location decisions.
- Cost Efficiency:
- Factories are often located where production costs are minimized, which includes factors like labor, materials, and transportation.
- This does not directly explain the relationship between agriculture and industry but highlights a common factor in economic activities.
- Location Benefits:
- Proximity to agricultural sources can reduce transportation costs for raw materials, showcasing the interconnectedness of both sectors.
Conclusion
While both the assertion and reason are correct, the reason does not serve as a direct explanation for the assertion. Instead, it demonstrates a broader economic principle about cost in factory location without addressing the specific relationship between agriculture and industry.
Thus, the correct choice is option 'B': Both A and R are true, but R is not the correct explanation of A.

Tools, implements, fertilisers, tractors, etc. are supplied by
  • a)
    government
  • b)
    industry
  • c)
    people
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Yuuvraj Tated answered
Bro answer is B


Because Tools,implements..... are manufactured in industry's

We have to just visualise the answer and then mark correct option

If cos X = a/b, then sin X is equal to:(
  • a)
    (b2-a2)/b
  • b)
    (b-a)/b
  • c)
    √(b2-a2)/b
  • d)
    √(b-a)/b
Correct answer is option 'C'. Can you explain this answer?

Kds Coaching answered
Answer: (c) √(b2-a2)/b
Explanation: cos X = a/b
By trigonometry identities, we know that:
sin2X + cos2X = 1
sin2X = 1 – cos2X = 1-(a/b)2
sin X = √(b2-a2)/b

  • a)
    0
  • b)
    -ab
  • c)
    c
  • d)
    -c2
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
We have,  
a cos θ – b sin θ = c  
Squaring both sides  
⇒ a²cos²θ + b²sin²θ – 2ab sin θ cos θ = c²  
⇒ a² (1 – sin²θ) + b² (1 – cos²θ) – 2ab sin θ cos θ = c²  
⇒ a² – a²sin²θ + b² – b²cos²θ – 2ab sin θ cos θ = c²  
⇒ a² + b² – c² = a²sin²θ + b²cos²θ + 2ab cos θ sin θ  
⇒ a² + b² – c² = (a sin θ + b cos θ)²  
⇒ (a sin θ + b cos θ) = ±√(a² + b² – c²)   → (1)  
So  
(a sin θ + b cos θ) – √(a² + b² – c²) = 0

Why is the Chhotanagpur plateau region an ideal location for iron and steel industries?Options:
  • a)
    Because it is close to the coastline, which facilitates easy export.
  • b)
    Because the region has access to cheap labour, low-cost iron ore, and high-grade raw materials nearby.
  • c)
    Because it is primarily a lightweight industry requiring minimal transportation.
  • d)
    Because it has a low concentration of other industries, leading to less competition for resources.
Correct answer is option 'B'. Can you explain this answer?

Nk Classes answered
- The Chhotanagpur plateau is rich in minerals, particularly iron ore, which is a primary raw material for the iron and steel industry.
- The proximity to coal mines in regions like Jharia and Raniganj provides essential fuel for smelting processes.
- The availability of cheap labor in the region helps reduce production costs.
- Nearby limestone deposits are crucial for steel production.
- The developed transportation network facilitates easy movement of raw materials and finished products.

Industries cause _____________ pollution.
  • a)
    air
  • b)
    water
  • c)
    noise
  • d)
    all of the above
Correct answer is option 'D'. Can you explain this answer?

Nk Classes answered
- Industries are responsible for multiple types of pollution:
- Air Pollution: Emissions from factories release pollutants like carbon monoxide and sulfur dioxide.
- Water Pollution: Industrial waste can contaminate water bodies with chemicals and heavy metals.
- Noise Pollution: Machinery and industrial activity contribute to high noise levels.
- Thus, industries contribute to air, water, and noise pollution, making option D, "all of the above," the correct choice.

 If sin A + sin2A = 1, then the value of the expression (cos2A + cos4A) is
  • a)
  • b)
    1/2 
  • c)
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?

Kds Coaching answered
sin A + sin2A = 1
sin A = 1 – sin2A
sin A = cos2A {since sin2θ + cos2θ = 1}
Squaring on both sides,
sin2A = (cos2A)2
1 – cos2A = cos4A
⇒ cos2A + cos4A = 1

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