🔹 A. Short Answer Questions
Q1. Define a determinant.
Q2. What is an inverse matrix?
Q3. Define continuity of a function.
Q4. What is differentiation?
Q5. Define integration.
Q6. What is a vector?
Q7. Define directional cosine.
Q8. What is probability?
Q9. Define linear programming problem.
Q10. What is a differential equation?
🔹 B. Long Answer Questions
Q11. Explain properties of determinants.
Q12. Solve a system of linear equations using matrices.
Q13. Explain continuity and differentiability.
Q14. Explain applications of derivatives.
Q15. Evaluate definite integrals and their properties.
Q16. Explain applications of integrals in finding areas.
Q17. Explain vector algebra and scalar product.
Q18. Explain three-dimensional geometry.
Q19. Solve linear programming problems graphically.
Q20. Explain conditional probability and Bayes' theorem.
🔹 C. PYQ Type Questions
Q21. Find the determinant of a 3×3 matrix.
Q22. Differentiate sin(x²).
Q23. Evaluate ∫(x² + 1)dx.
Q24. Find the equation of a line in 3D.
Q25. Solve a probability-based word problem.
🔹 D. Application Based Questions
Q26. How are matrices used in computer graphics?
Q27. How does calculus help in engineering?
Q28. Why is probability important in decision making?
Q29. How is linear programming used in business?
Q30. Why are vectors important in physics?
🔹 E. Important Formula Diagrams
📈 Differentiation
d/dx (xⁿ) = n·xⁿ⁻¹
📉 Integration
∫xⁿ dx = xⁿ⁺¹/(n+1) + C
📊 Probability
P(A) = Number of favourable outcomes
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Total number of outcomes
