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Class 12 NCERT Maths – Chapter 7, Exercise 7.3 Solutions (Integrals of Trigonometric Functions)

Q1. Find Solution:Recall, So, Therefore, Integrate, Final Answer: Q2. Find Solution:Use product-to-sum: So, Integrate, Final Answer: Q3. Find Solution:First, use product-to-sum for two cosines: So, Now, Now expand both terms: So, Now integrate term by term: Final Answer: Q4. Find Solution:Recall, So, Integrate, Using, So, We can also simplify this further Using, So, Substitute this

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Partial Fractions and Formulae

What are Partial Fractions? Steps for Using Partial Fractions Types of Partial Fractions Notes Tip:Whenever you see a rational function, first try to write it in one of the forms above. This will make integration much easier! Example of Partial Fraction Decomposition Express as a sum of partial fractions. Step 1: Identify the Form: The

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🧮 Practice Sheet Level 2: Algebra (Based on Class 9 Concepts)

Solve the following questions. The questions are designed to test your conceptual understanding of algebra at a Class 9 level. This sheet includes evaluation, factorization, simplification, and solving equations. 📘 Section A: Evaluate the Expression Q1. Evaluate: Q2. Evaluate: Q3. Evaluate: Q4. Evaluate: Q5. Evaluate: Q6. Evaluate: Q7. Evaluate: Q8. Evaluate: Q9. Evaluate: Q10. Evaluate:

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🧮 Practice Sheet Level 1: Algebra (Based on Class 6 to 8 Concepts)

Solve the following questions. Show all necessary steps. Focus on evaluating, simplifying, and solving algebraic expressions and equations. 📘 Section A: Evaluate the Expression Q1. Evaluate: when Q2. Evaluate: when Q3. Evaluate: when Q4. Evaluate: when Q5. Evaluate: when Q6. Evaluate: when Q7. Evaluate: when Q8. Evaluate: when Q9. Evaluate: when Q10. Evaluate: when 📗

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Class 12 NCERT Maths – Chapter 4 (Determinants) – Exercise 4.2 Solutions

Question 1: Find the area of the triangle with vertices at the points given: (i) Solution:Using the formula for the area of triangle: Substituting the points: Expanding: (ii) Solution:Substituting the points: Expanding: (iii) Solution:Substituting the points: Expanding: Question 2: Show that points are collinear. Solution:If points are collinear the area of a triangle formed by

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