Here are some important CBSE math formulas for class 11th and 12th

 

Class 11th Formulas:

1. Quadratic Equation Formula:

   If ax^2 + bx + c = 0, then x = [-b ± √(b^2 - 4ac)]/2a

2. Arithmetic Progression (AP) Formula:

   nth term = a + (n - 1)d Sum of n terms = (n/2)[2a + (n-1)d]

3. Geometric Progression (GP) Formula:

   nth term = ar^(n-1) Sum of n terms = a(1 - r^n)/(1 - r)

4. Trigonometric Functions Formulas:

   sin^2A + cos^2A = 1 1 + tan^2A = sec^2A 1 + cot^2A = cosec^2A

5. Coordinate Geometry Formulas:

   Distance Formula: √[(x2 - x1)^2 + (y2 - y1)^2] Midpoint Formula: ((x1 + x2)/2, (y1 + y2)/2) Section Formula: ((m1x2 + m2x1)/(m1 + m2), (m1y2 + m2y1)/(m1 + m2))

Class 12th Formulas:

1. Matrices Formulas:

   Addition of Matrices: A + B = B + A Multiplication of Matrices: AB != BA in general Transpose of a Matrix: (A^T)i,j = A(j,i)

2. Determinants Formulas:

   |A| = ∑(-1)i+j * ai,j * |M(i,j)| M(i,j) is the minor of ai,j C(i,j) is the cofactor of ai,j, C(i,j) = (-1)i+j*M(i,j)

3. Differentiation Formulas:

   Derivative of sinx: cosx Derivative of cosx: -sinx Derivative of tanx: sec^2x Derivative of cotx: -cosec^2x Derivative of secx: secx * tanx Derivative of cosecx: -cosecx * cotx

4. Integration Formulas:

   Integral of sinx: -cosx + C Integral of cosx: sinx + C Integral of sec^2x: tanx + C Integral of cosec^2x: -cotx + C