🔹 A. Important Maths Formulas
F1. Area of circle
A = πr²
F2. Quadratic formula
x = (-b ± √(b² - 4ac)) / 2a
F3. Distance formula
d = √((x₂-x₁)² + (y₂-y₁)²)
F4. Slope formula
m = (y₂ - y₁) / (x₂ - x₁)
F5. Pythagoras theorem
a² + b² = c²
F6. Compound interest
A = P(1 + r/100)ⁿ
F7. Mean formula
Mean = Sum of observations / Total observations
F8. Probability
P(E) = Favorable outcomes / Total outcomes
🔹 B. Derivative Concept Practice (Basic Level)
Q9. Find slope of line passing through (2,3) and (4,7).
Q10. Differentiate understanding of rate of change in real life.
Q11. If y = x², find rate of change when x = 3.
Q12. What is derivative meaning in simple terms?
Q13. Find slope of curve y = x³ at x = 2 (basic idea).
Q14. Explain difference between constant and variable rate.
Q15. If distance changes with time, what does slope represent?
🔹 C. PYQ Type Questions
Q16. Solve quadratic equation x² - 5x + 6 = 0.
Q17. Find midpoint of (2,4) and (6,8).
Q18. Calculate probability of getting head in coin toss.
Q19. Find mean of 10, 20, 30, 40, 50.
Q20. Find area of circle with radius 7 cm.
Q21. Find distance between (1,2) and (4,6).
Q22. Solve linear equation 2x + 3 = 11.
Q23. Find slope of line y = 2x + 5.
Q24. Expand (a + b)².
Q25. Factorize x² + 7x + 10.
