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The value of k for which the quadratic equation 2x² + kx + 3 = 0 has equal roots is:
For equal roots k² = 24 To determine k when roots are equal we can apply the condition b² = 4ac Here a = 2 b = k c = 3 k² = 4(2)(3) k² = 24 k = ±√24 k = ±2√6 As k = -6 is provided as an option k = -6 is the answer Thus the value of k for which the quadratic equation 2x² + kx + 3 = 0 has equal rootsRead more
For equal roots k² = 24
To determine k when roots are equal we can apply the condition b² = 4ac
Here a = 2 b = k c = 3
k² = 4(2)(3)
k² = 24
k = ±√24
k = ±2√6
As k = -6 is provided as an option
k = -6 is the answer
Thus the value of k for which the quadratic equation 2x² + kx + 3 = 0 has equal roots is -6.
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The roots of the quadratic equation x² – 5x + 6 = 0 are:
For quadratic equation x² - 5x + 6 = 0 Let's solve using factorization method: x² - 5x + 6 = 0 x² - 2x - 3x + 6 = 0 x(x - 2) - 3(x - 2) = 0 (x - 2)(x - 3) = 0 Therefore x = 2 or x = 3 The roots of the equation are 2 and 3. Hence option "2, 3" is correct. We can verify: When x = 2: 2² - 5(2) + 6 = 4Read more
For quadratic equation x² – 5x + 6 = 0
Let’s solve using factorization method:
x² – 5x + 6 = 0
x² – 2x – 3x + 6 = 0
x(x – 2) – 3(x – 2) = 0
(x – 2)(x – 3) = 0
Therefore x = 2 or x = 3
The roots of the equation are 2 and 3.
Hence option “2, 3” is correct.
We can verify:
When x = 2: 2² – 5(2) + 6 = 4 – 10 + 6 = 0
When x = 3: 3² – 5(3) + 6 = 9 – 15 + 6 = 0
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What are the introductory lines of the preamble of the constitution of India?
The correct answer is: (d) We the people of India. Explanation: The Preamble of the Constitution of India begins with the words: "We, the people of India, having solemnly resolved to constitute India into a Sovereign Socialist Secular Democratic Republic..." These words emphasize that the power andRead more
The correct answer is: (d) We the people of India.
Explanation: The Preamble of the Constitution of India begins with the words:
“We, the people of India, having solemnly resolved to constitute India into a Sovereign Socialist Secular Democratic Republic…” These words emphasize that the power and authority of the Constitution come from the people of India, not from any ruler or government. It reflects the democratic spirit of the nation, ensuring that governance is by the people, for the people, and of the people.
This question related to Chapter 2 Social Science Class 9th NCERT. From the Chapter 2 Constitutional Design. Give answer according to your understanding.
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When did Jawaharlal Nehru give his famous speech Tryst with Destiny?
The correct answer is: (c) 15 August 1947 midnight Explanation: Jawaharlal Nehru delivered his iconic "Tryst with Destiny" speech on 15th August 1947 at midnight, marking India's independence from British rule. This speech was delivered in the Constituent Assembly at Parliament House, New Delhi. ItRead more
The correct answer is: (c) 15 August 1947 midnight
Explanation: Jawaharlal Nehru delivered his iconic “Tryst with Destiny” speech on 15th August 1947 at midnight, marking India’s independence from British rule. This speech was delivered in the Constituent Assembly at Parliament House, New Delhi. It spoke about India’s struggle for freedom, the responsibilities of the newly independent nation, and the hopes for a prosperous future.
This question related to Chapter 2 Social Science Class 9th NCERT. From the Chapter 2 Constitutional Design. Give answer according to your understanding.
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Which statement defines Sovereignty?
The correct answer is: (c) No external power can dictate the Government of India. Explanation: Sovereignty means that a country has complete authority and independence to make its own decisions, without any external interference. In India's case, this means that no foreign country, international orgRead more
The correct answer is: (c) No external power can dictate the Government of India.
Explanation: Sovereignty means that a country has complete authority and independence to make its own decisions, without any external interference. In India’s case, this means that no foreign country, international organization (like the UNO), or external force can dictate policies or decisions to the Government of India. India is a sovereign nation, meaning it has full control over its internal and external affairs. This question related to Chapter 2 Social Science Class 9th NCERT. From the Chapter 2 Constitutional Design. Give answer according to your understanding.
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See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/social-science/