Prasanta Naskar
Logarithm Formulas Logarithm Formulas [ ‘a > 0’, ‘b > 0’ and ‘m ∈ N’ ] 1. If am = b, then we can write it as ‘logₐb = m‘ (read it as ‘the value of logarithm of b with respect to base a is m‘) 2. If logₐb = m , then we can write it as am = b 3. log … Read more
Indices and Surds Formulas Indices and Surds Formulas a (a ∈ R) is called ‘’Base’’ m, n (m, n ∈ R) are called ”Exponent/Index” 1. am × an = am + n 2. am ÷ an = am – n 3. a0 = 1, where a ≠ 0 4. (a . b)m = am × bm 5. ( a⁄ b )m = am⁄ bm 6. (am)n = (an)m = am × n [ Note … Read more
1. Basic Algebraic Formulas 2. Binomial Formulas 3. Complex Number Formulas 4. Determinant Formulas 5. Exponents/Indices and Surds Formulas 6. Equation Formulas ( Quadratic Equation ) 7. Logarithm Formulas 8. Matrices Formulas 9. Series and Sequences Formulas (a) Arithmetic Progression, … Read more
Mathematical Formulas 1. Algebraic Formulas 2. Arithmetic Formulas 3. Trigonometric Formulas 4.Co-Ordinate Geometrical Formulas (a) Points and Distances (b) Straight Line (c) Circle (d) Parabola (e) Ellipse (f) Hyperbola 5. Calculus Formulas 6. Statistics Formulas 7. Mensuration Formulas (a) Plane/2-D Regular Figures ⇒ Triangle … Read more
Fig.1 Let ABC is a triangle whose three angles are ∠A = x°, ∠B = y° and ∠C = z° We have to prove x° + y° + z° = 180° Construction : Three sides AB, BC, and AC are extended in both the directions. Then a line RAS is drawn from point A in such a … Read more