Ganit Manjari Formulas 3A3B4B

1. The problem is to create a formula sheet for the Class 9 NCERT Ganit Manjari book. 2. Since the book covers various topics in algebra, geometry, mensuration, statistics, and probability, we will list key formulas from each chapter. 3. Algebra formulas: - Factorization: $$a^2 - b^2 = (a-b)(a+b)$$ - Quadratic equation roots: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ - Arithmetic Progression sum: $$S_n = \frac{n}{2}[2a + (n-1)d]$$ 4. Geometry formulas: - Triangle area: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ - Pythagoras theorem: $$c^2 = a^2 + b^2$$ - Circle circumference: $$C = 2\pi r$$ - Circle area: $$A = \pi r^2$$ 5. Mensuration formulas: - Surface area of cube: $$6a^2$$ - Surface area of cuboid: $$2(lb + bh + hl)$$ - Volume of cube: $$a^3$$ - Volume of cuboid: $$lbh$$ - Volume of cylinder: $$\pi r^2 h$$ 6. Statistics formulas: - Mean: $$\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$$ - Median and mode formulas depend on data type. 7. Probability formula: - Probability of event $$E$$: $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ This sheet summarizes the essential formulas from the Class 9 NCERT Ganit Manjari book for quick reference.