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Mexico cannot be considered as a democratic country, despite conducting regular elections in the country :
The correct answer is: (c) The ruling party of Mexico used to resort to corrupt activities to win elections. Explanation: Although Mexico held regular elections, it was not truly democratic because the ruling party, PRI (Institutional Revolutionary Party), used unfair means to stay in power. OppositRead more
The correct answer is: (c) The ruling party of Mexico used to resort to corrupt activities to win elections.
Explanation: Although Mexico held regular elections, it was not truly democratic because the ruling party, PRI (Institutional Revolutionary Party), used unfair means to stay in power. Opposition parties faced repression, election fraud, and lack of a fair playing field. The PRI used government resources, media control, and vote-rigging to manipulate election results. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
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China cannot be considered as a democratic state because:
The correct answer is: (d) Only members of the Chinese Communist Party are allowed to stand for elections. Explanation: China conducts elections, but they are not free and fair as in a true democracy. The Chinese Communist Party (CCP) holds absolute power, and no opposition parties are allowed to coRead more
The correct answer is: (d) Only members of the Chinese Communist Party are allowed to stand for elections.
Explanation: China conducts elections, but they are not free and fair as in a true democracy. The Chinese Communist Party (CCP) holds absolute power, and no opposition parties are allowed to contest elections. Only CCP-approved candidates can participate, making elections one-sided and undemocratic. Citizens can vote for local representatives, but the real decision-making power remains with the Communist Party leadership. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
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The quadratic polynomial whose zeros are 4 and -3 is:
Building a Quadratic Polynomial with Given Zeros Step 1: Defining Zeros - Given zeros: 4 and -3 - The polynomial shall thus be in the form: (x - 4)(x + 3) Step 2: Algebraic Expansion (x - 4)(x + 3) = x² + 3x - 4x - 12 = x² - x - 12 Step 3: Checking Zero Properties Let's test if the zeros hold: - WheRead more
Building a Quadratic Polynomial with Given Zeros
Step 1: Defining Zeros
– Given zeros: 4 and -3
– The polynomial shall thus be in the form: (x – 4)(x + 3)
Step 2: Algebraic Expansion
(x – 4)(x + 3) = x² + 3x – 4x – 12
= x² – x – 12
Step 3: Checking Zero Properties
Let’s test if the zeros hold:
– When x = 4:
4² – 4 – 12 = 16 – 4 – 12 = 0 OK
– When x = -3:
(-3)² – (-3) – 12 = 9 + 3 – 12 = 0 OK
Step 4: Coefficient Analysis
– Coefficient of x²: 1
– Coefficient of x: -1
– Constant term: -12
Mathematical Insights:
– The zeros of a quadratic define its form
– The general form illustrates how the zeros are connected to the coefficients of the polynomial
– Vieta’s formulas support the connection between coefficients and zeros
Conclusion:
The quadratic polynomial whose zeros are 4 and -3 is x² – x – 12.
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The rule of General Pervez Musharraf in Pakistan cannot be considered democratic because:
The correct answer is: (c) The final decision-making powers did not rest with the representatives of the people. Explanation: General Pervez Musharraf took control of Pakistan in 1999 through a military coup, removing an elected government. While elections were conducted under his rule, they were noRead more
The correct answer is: (c) The final decision-making powers did not rest with the representatives of the people.
Explanation: General Pervez Musharraf took control of Pakistan in 1999 through a military coup, removing an elected government. While elections were conducted under his rule, they were not free and fair. The National Security Council, controlled by the military, supervised the civilian government, reducing the power of elected representatives. The referendum held in 2002 to extend his rule was widely criticized for malpractices and fraud. Since the real power remained with the military and not the elected representatives, Pakistan under Musharraf was not a true democracy. This question related to Chapter 1 Social Science Class 9th NCERT. From the Chapter 1 What is Democracy? Why Democracy?. Give answer according to your understanding.
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If one of the zeros of the polynomial 2x² + 7x + 3 is -3/2, then the other zero is:
Solving for the Unknown Zero of a Quadratic Polynomial Step 1: Given Information - Polynomial: 2x² + 7x + 3 - One known zero: -3/2 Step 2: Vieta's Formulas for Quadratic Polynomials Let the two zeros be p and q: - p + q = -b/a - p * q = c/a Where in 2x² + 7x + 3: - a = 2 - b = 7 - c = 3 Step 3: UsinRead more
Solving for the Unknown Zero of a Quadratic Polynomial
Step 1: Given Information
– Polynomial: 2x² + 7x + 3
– One known zero: -3/2
Step 2: Vieta’s Formulas for Quadratic Polynomials
Let the two zeros be p and q:
– p + q = -b/a
– p * q = c/a
Where in 2x² + 7x + 3:
– a = 2
– b = 7
– c = 3
Step 3: Using the Known Zero
If p = -3/2, then we need to find q
Sum of zeros formula:
p + q = -b/a
-3/2 + q = -7/2
Step 4: Solving for the Unknown Zero
q = -7/2 – (-3/2)
= -7/2 + 3/2
= -4/2
= -2
Verification:
– First zero: p = -3/2
– Second zero: q = -2
– Check: (-3/2) + (-2) = -7/2 ✓
– Check: (-3/2) * (-2) = 3/a ✓
Mathematical Insight:
Vieta’s formulas provide a powerful method to find
polynomial zeros without fully solving the equation.
Conclusion:
The other zero of the polynomial is -2 (or 1 in the given options).
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