Topics
Real Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
Trigonometry
Arithmetic Progressions
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
Introduction to Trigonometry
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Formula: Sum of First ‘n’ Terms
If a, n, l are known → \[S_n=\frac{n}{2}(a+l)\]
If a, n, d are known → \[S_n=\frac{n}{2}\left[2a+(n-1)d\right]\]
CBSE: Class 10
Maharashtra State Board: Class 10
Maharashtra State Board: Class 10
Formula: Sum of First n Natural Numbers
\[1+2+\cdots+n=\frac{n(n+1)}{2}\]
Maharashtra State Board: Class 10
Formula: Sum of First n Even Natural Numbers
\[2+4+\cdots+2n=n(n+1)\]
Maharashtra State Board: Class 10
Formula: Sum of First n Odd Natural Numbers
\[1+3+\cdots+(2n-1)=n^2\]
