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  1. The MCQs in Chapter 4 (Data Handling and Presentation) serve as crucial tools for assessing students' understanding of fundamental data concepts and their real-world applications. These questions help develop analytical thinking statistical literacy and visual interpretation skills through practicalRead more

    The MCQs in Chapter 4 (Data Handling and Presentation) serve as crucial tools for assessing students’ understanding of fundamental data concepts and their real-world applications. These questions help develop analytical thinking statistical literacy and visual interpretation skills through practical scenarios. By testing knowledge of tally marks pictographs bar graphs mean median and mode the MCQs build strong problem-solving abilities. They enable students to make informed decisions based on data analysis and prepare them for advanced mathematical concepts in higher classes while ensuring effective application of theoretical knowledge in everyday situations.

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  2. 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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  3. 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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  4. 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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  5. 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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