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The common difference of the A.P. is 1/2q, (1-2q)/2q, (1-4q)/2q, … is
The given sequence is 1/2q, (1-2q)/2q, (1-4q)/2q, ... To find true common difference, let's analyze the pattern: Looking at numerators: 1, (1-2q), (1-4q) Denominator remains constant: 2q In numerator: From 1st to 2nd term: difference is -2q From 2nd to 3rd term: difference is -2q Since denominator iRead more
The given sequence is 1/2q, (1-2q)/2q, (1-4q)/2q, …
To find true common difference, let’s analyze the pattern:
Looking at numerators: 1, (1-2q), (1-4q)
Denominator remains constant: 2q
In numerator:
From 1st to 2nd term: difference is -2q
From 2nd to 3rd term: difference is -2q
Since denominator is 2q,
Common difference = (-2q)/(2q) = 2q
This can be verified:
Starting with first term 1/2q:
– Add 2q: gives (1-2q)/2q (second term)
– Add 2q again: gives (1-4q)/2q (third term)
Hence, 2q is the correct answer.
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How many Fundamental Rights have been granted by the Indian Constitution to its citizens?
Correct Answer: (c) 6 Explanation: The Indian Constitution originally granted 7 Fundamental Rights, but after the 44th Amendment Act of 1978, the Right to Property was removed from the list and made a legal right under Article 300A. Currently, the 6 Fundamental Rights granted by the Indian ConstitutRead more
Correct Answer: (c) 6
Explanation: The Indian Constitution originally granted 7 Fundamental Rights, but after the 44th Amendment Act of 1978, the Right to Property was removed from the list and made a legal right under Article 300A.
Currently, the 6 Fundamental Rights granted by the Indian Constitution are: Right to Equality (Articles 14–18) – Ensures equality before law and prohibits discrimination. Right to Freedom (Articles 19–22) – Includes freedom of speech, expression, and personal liberty. Right against Exploitation (Articles 23–24) – Prohibits human trafficking, forced labor, and child labor. Right to Freedom of Religion (Articles 25–28) – Guarantees religious freedom and the right to practice any religion. Cultural and Educational Rights (Articles 29–30) – Protects the rights of minorities to preserve their culture and establish educational institutions. Right to Constitutional Remedies (Article 32) – Known as the “heart and soul of the Constitution,” it allows citizens to move the Supreme Court or High Court if their Fundamental Rights are violated.
Thus, the correct answer is (c) 6 Fundamental Rights.
This question related to Chapter 5 Social Science Class 9th NCERT. From the Chapter 5 Democratic Rights. Give answer according to your understanding.
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If the roots of the quadratic equation x² – (a + 1)x + a = 0 are equal, then the value of a is:
Given quadratic equation: x² - (a + 1)x + a = 0 For equal roots, discriminant should be zero: b² - 4ac = 0 Here: a = 1 (coefficient of x²) b = -(a + 1) c = a Substituting in discriminant: [-(a + 1)]² - 4(1)(a) = 0 (a + 1)² - 4a = 0 a² + 2a + 1 - 4a = 0 a² - 2a + 1 = 0 (a - 1)² = 0 Therefore: a = 1 TRead more
Given quadratic equation: x² – (a + 1)x + a = 0
For equal roots, discriminant should be zero:
b² – 4ac = 0
Here:
a = 1 (coefficient of x²)
b = -(a + 1)
c = a
Substituting in discriminant:
[-(a + 1)]² – 4(1)(a) = 0
(a + 1)² – 4a = 0
a² + 2a + 1 – 4a = 0
a² – 2a + 1 = 0
(a – 1)² = 0
Therefore:
a = 1
This can be verified by substituting a = 1 in original equation:
x² – 2x + 1 = 0
(x – 1)² = 0
x = 1 (repeated root)
Hence, 1 is the correct answer.
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Who ensures the safety of rights?
Correct option is (a) Constitution The explanation would be: The Indian Constitution is the supreme law of the land and guarantees Fundamental Rights to every citizen. It: Defines and grants rights such as equality, freedom, and protection from exploitation. Provides legal safeguards through laws anRead more
Correct option is (a) Constitution
The explanation would be: The Indian Constitution is the supreme law of the land and guarantees Fundamental Rights to every citizen. It: Defines and grants rights such as equality, freedom, and protection from exploitation.
Provides legal safeguards through laws and provisions like the Right to Constitutional Remedies (Article 32).
Lays the framework for governance, ensuring that no law or policy violates these rights.
However, while the Constitution grants rights, it is ultimately the Judiciary (Supreme Court & High Courts) that enforces and protects them.
This question related to Chapter 5 Social Science Class 9th NCERT. From the Chapter 5 Democratic Rights. Give answer according to your understanding.
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Why does notion of rights keeps changing?
Ans. (c) Rights need to be recognised by the ever-changing society. Explanation: The notion of rights keeps changing because society is constantly evolving. As new social, political, and technological challenges emerge, the understanding of rights also expands. For example: Earlier, voting rights weRead more
Ans. (c) Rights need to be recognised by the ever-changing society.
Explanation: The notion of rights keeps changing because society is constantly evolving. As new social, political, and technological challenges emerge, the understanding of rights also expands. For example:
Earlier, voting rights were restricted, but now universal adult suffrage is a fundamental democratic principle.
Right to Privacy was not explicitly mentioned in the Indian Constitution, but with digital advancements, it has been recognized as a fundamental right. The demand for LGBTQ+ rights, environmental rights, and digital rights has grown over time due to changing social awareness. Thus, rights are dynamic and adapt to the changing needs and values of society. This question related to Chapter 5 Social Science Class 9th NCERT. From the Chapter 5 Democratic Rights. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/social-science/