Question

Maths Formulas For Class 10: Important Class 10 Mathematics Formulas

Answer 1

I will put here all formulas from maharashtra board .

Algebra

1. Class 10 Maths Formulas Linear Equations ,Pair of Linear Equations in two variables

One Variable	ax+b=0	a≠0 and a&b are real numbers
Two variable	ax+by+c = 0	a≠0 & b≠0 and a,b & c are real numbers
Three variable	ax+by+cz+d=0	a≠0 , b≠0, c≠0 and a,b,c,d are real numbers

       

The pair of linear equations in two variables are given as:

a₁x+b₁+c₁=0 and a₂x+b₂+c₂=0

Where a₁, b₁, c₁, & a₂, b₂, c₂ are real numbers & a₁²+b₁² ≠ 0 & a₂² + b₂² ≠ 0

2.Class 10 Maths Formulas For  Quadratic Equations

The Quadratic Formula: For a quadratic equation px² + qx + r = 0, the values of x which are the solutions of the equation are given by:

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

 

 

3 .Class 10 Maths Formulas For Arithmetic Progression (AP)

If a1, a2, a3, a4….. be the terms of an AP and d be the common difference between each term, then the sequence can be written as: a, a + d, a + 2d, a + 3d, a + 4d…… a + nd. where a is the first term and (a + nd) is the (n – 1) th term. So, the formula to calculate the nth term of AP is given as:

   

n^th term = a + (n-1) d

The sum for the nth term of AP where a is the 1st term, d is the common difference, and l is the last term is given as:

S_n = n/2 [2a + (n-1) d] or S_n = n/2 [a + l]

4.Class 10 Maths Formulas For Financial Planning

taxable value = output tax - input tax 

 

5. Class 10 maths Formulas for Probability

Probability Range	0 ≤ P(A) ≤ 1
Bayes Formula	P(A|B) = P(B|A) ⋅ P(A) / P(B)
Rule of Addition	P(A∪B) = P(A) + P(B) – P(A∩B)
Disjoint Events – Events A and B are disjoint if	P(A∩B) = 0
Independent Events – Events A and B are independent iff	P(A∩B) = P(A) ⋅ P(B)

 

6. Class 10 Maths Formulas For Statistics 

Statistics in Class 10 is mostly about finding the Mean, Median, and Mode of the given data .

Mean formulas 

1.Direct Method  x̅ =\(\sum _i^n=fixi\over \sum_i^n=fi\)

2.Assume Mean method   x̅= a+\(\sum_i^n=fidi\over \sum_i^n=fi\)

3. step deviation method x̅= a+\(\sum_i^n=fidi\over \sum_i^n=fi\) ×h

Mode = I+\({fi-f0\over 2f1-f0-f2}\times h\)

Median =I+\({{n\over2}-cf\over f}\times h\)