1. To find a rational number between 3 and 4, we need to check which of the given options lies in the interval (3,4)(3,4)(3,4). Checking each option: (a). 3/2 =1.5, 1.5 is less than 3, so it is not between 3 and 4. (b). 4/3 ≈ 1.33, 1.33 is also less than 3, so it is not between 3 and 4. (c). 7/2 = 3.5,Read more

    To find a rational number between 3 and 4, we need to check which of the given options lies in the interval (3,4)(3,4)(3,4).
    Checking each option:
    (a). 3/2 =1.5, 1.5 is less than 3, so it is not between 3 and 4.
    (b). 4/3 ≈ 1.33, 1.33 is also less than 3, so it is not between 3 and 4.
    (c). 7/2 = 3.5, 3.5 is between 3 and 4, so this is a valid option. 
    (d). 7/4 = 1.75, 1.75 is less than 3, so it is not between 3 and 4.
    Conclusion:
    The only rational number in the given options that lies between 3 and 4 is 7/2 (option c).
    This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.

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    https://www.tiwariacademy.in/ncert-solutions/class-9/maths/

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  2. We are given the rational number: 3/40 We need to convert it into decimal form and determine the correct answer from the given options. Step 1: Convert the Fraction to Decimal To convert 3/40 into a decimal, we divide 3 by 40: 3 ÷ 40 Performing the division: 3.000 (Adding decimal point and zeros toRead more

    We are given the rational number: 3/40
    We need to convert it into decimal form and determine the correct answer from the given options.
    Step 1: Convert the Fraction to Decimal
    To convert 3/40 into a decimal, we divide 3 by 40: 3 ÷ 40
    Performing the division:
    3.000 (Adding decimal point and zeros to divide properly)
    40 goes into 30 0 times. (So, we consider 300)
    40 goes into 300 7 times (since 40 × 7 = 280)Remainder: 300 – 280 = 20
    Bring down a 0 (making it 200)
    40 goes into 200 5 times (since 40 × 5 = 200)Remainder: 0 (Division is complete)
    Thus, 3/40 = 0.075
    Step 2: Compare with Given Options
    The given options are:
    (a) 0.75
    (b) 0.12
    (c) 0.012
    (d) 0.075
    Since we found that 3/40 = 0.075, the correct answer is:  (d) 0.075
    This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.

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  3. Given: A circle with center O and radius r. Let P be a point on the circle where a tangent TP is drawn. To Prove:The tangent TP is perpendicular to the radius OP, i.e., Proof: Consider a circle with center O and a tangent TP at point P.Since P lies on the circle, OP is the radius of the circle. AssuRead more

    Given: A circle with center O and radius r. Let P be a point on the circle where a tangent TP is drawn.
    To Prove:The tangent TP is perpendicular to the radius OP, i.e.,
    Proof: Consider a circle with center O and a tangent TP at point P.Since P lies on the circle, OP is the radius of the circle.
    Assume another point Q on the tangent TP (other than P).Since Q lies outside the circle, the line segment OQ is longer than OP (as OP is the shortest distance from O to the circle).
    In any circle, a line drawn from the center to a point outside the circle is always longer than the radius.That means:for all points Q on the tangent other than P.
    This implies that OP is the shortest distance from O to the tangent.By the definition of perpendicularity, the shortest distance from a point to a line is along the perpendicular.
    Thus, OP must be perpendicular to TP.

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    https://www.tiwariacademy.com/ncert-solutions/class-10/maths/#chapter-10

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    • 9
  4. Correct Answer: (b) Right to Constitutional Remedies Explanation: Dr. B.R. Ambedkar referred to the Right to Constitutional Remedies as the "heart and soul" of the Indian Constitution because: It allows citizens to approach the Supreme Court or High Courts if their fundamental rights are violated. IRead more

    Correct Answer: (b) Right to Constitutional Remedies
    Explanation: Dr. B.R. Ambedkar referred to the Right to Constitutional Remedies as the “heart and soul” of the Indian Constitution because: It allows citizens to approach the Supreme Court or High Courts if their fundamental rights are violated. It empowers the courts to issue writs like Habeas Corpus, Mandamus, Prohibition, Certiorari, and Quo Warranto to protect citizens’ rights. It acts as a safeguard for all other Fundamental Rights (Articles 12-35). This right is enshrined in Article 32 of the Indian Constitution and is considered essential for the protection of democracy and individual freedoms in India. 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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    • 28
  5. Correct Answer: (c) Prohibition of traffic in human beings Explanation: The safety and dignity of women have been ensured through Article 23 of the Indian Constitution, which prohibits: Human trafficking and forced labor – This prevents women from being exploited in illegal activities like prostitutRead more

    Correct Answer: (c) Prohibition of traffic in human beings
    Explanation: The safety and dignity of women have been ensured through Article 23 of the Indian Constitution, which prohibits: Human trafficking and forced labor – This prevents women from being exploited in illegal activities like prostitution, bonded labor, and slavery. Exploitation in any form – It ensures that no woman is forced into any form of servitude or unfair treatment. Legal protection – The government has enacted laws like The Immoral Traffic (Prevention) Act, 1956, and The Protection of Women from Domestic Violence Act, 2005, to further strengthen women’s safety.
    Apart from Article 23, Right to Equality (Article 14-18) and Right to Life & Personal Liberty (Article 21) also play a crucial role in ensuring women’s protection and empowerment in India.
    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:
    https://www.tiwariacademy.com/ncert-solutions/class-9/social-science/

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    • 23