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Class 12
Chapter 1
Class 12 ncert solution math exercise 1.1
Class 12 ncert solution math exercise 1.2
Chapter 2
inverse trigonometric formulae
Class 12 ncert solution math exercise 2.1
Class 12 ncert solution math exercise 2.2
Class 12 ncert solution math chapter 2 Miscellaneous
Chapter 3
Class 12 ncert solution math exercise 3.1 matrix
Class 12 ncert solution math exercise 3.2 matrix
class 12 maths exercise 3.3 solution
class 12 maths chapter 3 Miscellaneous solution
Chapter 4
Class 12 ncert solution math exercise 4.1
Class 12 ncert solution math exercise 4.3 determinants
Class 12 ncert solution math exercise 4.4
class 12 maths exercise 4.5 ncert solution
Class 12 ncert solution math exercise 4.6
Chapter 5
Class 12 ncert solution math exercise 5.1
Class 12 ncert solution math exercise 5.2
Class 12 ncert solution math exercise 5.3
Class 12 ncert solution math exercise 5.4
Class 12 ncert solution math exercise 5.5 differentiation
Class 12 ncert solution math exercise 5.6
Class 12 ncert solution math exercise 5.7 differentiation
Class 12 ncert solution math chapter 5 miscellaneous
Chapter 6
class 12 maths ex 6.1 ncert solution
class 12 maths ex 6.2 ncert solution
class 12 maths ex 6.3 ncert solution
class 12 maths ex 6.5 ncert solution
class 12 maths chapter 6 Miscellaneous ncert solution
Chapter 7
Ex 7.1 integration ncert solution maths class 12
Ex 7.2 integration ncert solution maths class 12
Ex 7.3 integration ncert maths solution class 12
Ex 7.4 integration ncert maths solution class 12
Ex 7.5 integration ncert maths solution class 12
Ex 7.6 integration ncert maths solution class 12
Ex 7.7 integration ncert maths solution class 12
Ex 7.9 integration ncert maths solution class 12
Ex 7.10 integration ncert maths solution class 12
Ex 7.11 integration ncert maths solution class 12
Chapter 7 Miscellaneous integration ncert maths class 12
chapter 8
Exercise 8.1 ncert math solution class 12
Exercise 8.2 ncert math solution class 12
Class 11
Chapter 1
Ex 1.1 ncert maths solution class 11
Ex 1.2 sets ncert maths solution class 11
Ex 1.3 sets ncert maths solution class 11
Ex 1.4 sets ncert maths solution class 11
Ex 1.5 sets ncert maths solution class 11
Ex 1.6 sets ncert maths solution class 11
Miscellaneous exercise sets ncert maths solution class 11
Chapter 2
Ex 2.1 sets ncert maths solution class 11
Ex 2.2 sets ncert maths solution class 11
Ex 2.3 sets ncert maths solution class 11
Chapter 2 Miscellaneous sets ncert maths solution class 11
Chapter 3
Trigonometry formulae for class 11
Ex 3.1 Trigonometric function ncert solution class 11
Ex 3.2 Trigonomety ncert maths solution class 11
Ex 3.3 Trigonomety ncert maths solution class 11
Ex 3.4 Trigonomety ncert maths solution class 11
Class 11 Chapter 3 Miscellaneous Exercise trigonometry
Chapter 4
Exercise 4.1 ncert math solution class 11
Chapter 5
Exercise 5.1 complex no. ncert math solution class 11
Exercise 5.2 complex no. ncert math solution class 11
Exercise 5.3 complex no. ncert math solution class 11
Chapter 5 Miscellaneous ncert math solution class 11
Chapter 6
Ex 6.1 Linear Inequalities ncert math solution class 11
Ex 6.2 Linear Inequalities ncert math solution class 11
Ex 6.3 Linear Inequalities ncert math solution class 11
Chapter 6 Miscellaneous ncert math solution class 11
Chapter 7
Exercise 7.1 ncert solutions maths class-11
Exercise 7.2 ncert solutions maths class 11
Exercise 7.3 ncert solutions maths class 11
Exercise 7.4 ncert solutions maths class 11
Chapter 7 Miscellaneous Ncert math solution class 11
Class 10
Trigonometric formulae for class 10
1. Real Number
Exercise 1.1 real number class 10 ncert maths solutions
Exercise 1.2 real number class 10 ncert maths solutions
2. Polynomials
Ncert maths solutions for class 10 chapter 2 Polynomials
4. Quadratic equation
NCERT Solutions Maths for Class 10 Chapter 4
Chapter 5: Arithmetic Progression
ncert solutions class 10 maths chapter 5 A.P.
Question-Answer
Class 12
R= {(a, b): a ≤ b²} is neither reflexive nor symmetric nor transitive
R={(a, b): a ≤ b³} is reflexive, symmetric or transitive
f(x) = 5x^2+6x-9 prove that f is bijective.
A and B throw a die alternatively till one of them gets 6
Two balls are drawn at random one by one with replacement
Find the equations of the diagonals of the parallelogram
A line l passes through point (-1,3,-2) and is perpendicular
A function f:[-4,4] → [0,4] is given by f(x) = √16 – x²
Show that right circular cone of least curve surface
If 20 m of wire is available for fencing off a flower-bed
Prove that the volume of the largest cone that can be
A wire of length 28 m is to be cut into two pieces
Show that the right circular cylinder of given surface
Show that of all the rectangles inscribed in a given fixed circle
A square piece of tin of side 18 cm is to be made into a box
A rectangula sheet of tin 45 cm by 24 cmis to be made into
Show that of all the rectangles inscribed in a given fixed circle
If y^x = e^(y-x), then prove that dy/dx = (1 + logy)^2/log y
If tan inverse y/x = log root x^2 + y^2, then prove that
Find the value of dy/dx at θ = pi/4, if x = aeθ(sin θ – cos θ)
If cos y = x cos (a + y) with cos a ≠ ± 1 then prove that
int root cotx + root tanx dx
Three friends go for coffee. They decide who will pay the bill
13. Probability
In a certain collage, 4% of boys and 1% of girls
An urn contains 5 red and 2 black balls. Two balls
Two group are competing for the position on the Board
The probabilities of two students A and B coming
A and B throw a pair of dice alternately A wins the game
A, B and C throw a pair of dice in that order alternately
The probability that A hits a target is 1/3 and the
In a group of 50 scouts in a camp, 30 are well trained
A bag I contains 5 red and 4 white balls and a bag II
Class 10
Prove that root 2 is an irrational number
Prove that root 5 is an irrational number
Prove that 2-root 3 is irrational, given that root 3 is irrational
Prove that root p + root q is irrational
Prove that root 2 + root 5 is irrational
Prove that root n is not a rational number
rahul-had-some-bananas-and-he-divided-them-into-two-lots
Ruhi invested a certain amount of money in two schemes
find the value of k for which the pair of equation
Find the zeros of the quadratic polynomial x² + 7x + 12
If we add 1 to the numerator and subtract 1 from the
If α and β are the zeros of the quadratic polynomial
If Ritu were younger by 5 years than what she really is
The sum of areas of two squares is 157 m²
If the equation (1 + m²)x² + 2 mcx + c² – a² = 0 has equal
A train covers a distance of 480 km at a uniform speed
A train travels 360 km at a uniform speed If the speed
In a flight of 600 km an aircraft was slowed due to
Arithemetic Progression
A child puts one five-rupees coin of her savings in the
Ramkali would require Rs 5000 for getting her daughter
The first term of an A.P. is -5 and the last term is 45
Show that the sum of all terms of an A.P. whose first term is a
Yasmeen saves ₹ 32 during the first month ₹ 36
A sum of ₹ 4,250 is to be used to give 10 cash prizes
Multiple Choice
Class 12 relation and functions multiple choice
class 12 inverse trigonometric functions multiple choice
Class 12 matrix multiple choice question
Class 12 determinants multiple choice question
Class 12 continuity and differentiability multiple choice
Class 12 application of derivatives multiple choice
Class 12 integration multiple choice question gmath
Class 12 application of integral multiple choice question
Class 12 differential equation multiple choice question
Class 12 vectors multiple choice question
Multiple choice question of 3 dimensional geometry
Class 12 multiple choice question of linear programming
Class 12 multiple choice of probability
Revision notes
class 12 revision of cbse math part-I 2022-2023
Class 12 revision of cbse math part-II 2022-2023
Case Study Question
Class 12
1. Relation and function
Case study relation and function 1 chapter 1 class 12
Case study relation and function 2 chapter 1 class 12
Case study relation and function 3 chapter 1 class 12
Case study relation and function 4 chapter 1 class 12
2. Inverse Trigonometry
Case study inverse trigonometric 1 chapter 2 class 12
Case study inverse trigonometry 2 chapter 2 class 12
3. Matrix
Case study problem matrix 1 chapter 3 class 12
Case study problem matrix 2 chapter 3 class 12
Case study problem matrix 3 chapter 3 class 12
4. Determinant
Case study problem determinant 1 chapter 4 class 12
Case study problem determinant 2 chapter 4 class 12
Case study problem determinant 3 chapter 4 class 12
Case study problem determinant 4 chapter 4 class 12
Case study problem determinant 5 chapter 4 class 12
6. Application of derivative
Case study application of derivative 1 chapter 6 class 12
Case study application of derivative 2 chapter 6 class 12
Case study application of derivative 3 chapter 6 class 12
Case study application of derivative 4 chapter 6 class 12
Case study application of derivative 5 chapter 6 class 12
The relation between the height of the plant
8. Application of Integral
Case study application of integral 1 chapter 8 class 12
Case study application of integral 2 chapter 8 class 12
Case study application of integral 3 chapter 8 class 12
Case study application of integral 4 chapter 8 class 12
Case study application of integral 5 chapter 8 class 12
9. Differential equation
Case study Differential equation chapter 9 class 12
10 vector
Case study problem vector 1 chapter 10 class 12
Case study problem vector 2 chapter 10 class 12
Case study three dimension geometry 1 chapter 11 class 12
11. Three dimesion geometry
Case study three dimension geometry 2 chapter 11 class 12
12. Linear programming
Case study linear programming 1 chapter 12 class 12
Case study linear programming 2 chapter 12 class 12
Case study linear programming 3 chapter 12 class 12
Case study linear programming 4 chapter 12 class 12
Case study linear programming 5 chapter 12 class 12
13. Probability
Case study problem probability 1 chapter 13 class 12
Case study problem probability 2 chapter 13 class 12
Case study problem probability 3 chapter 13 class 12
Case study problem probability 4 chapter 13 class 12
Case study problem probability 5 chapter 13 class 12
Case study problem probability 6 chapter 13 class 12
Case study problem probability 7 chapter 13 class 12
Case study problem probability 8 chapter 13 class 12
Case study problem probability 9 chapter13 class 12
Recent studies suggest that roughly 12 % of the world
Engine displacement is the measure of the cylinder volume
The use of electric vehicle will curb air pollution
Class 11
Class 11 Set Theory Case Study question
Class 10
Chapter 1
Class 10 Case based problem of Chapter 1 Real Number 1
Class 10 Case based problem of Chapter 1 Real Number 2
Class 10 Case based problem of Chapter 1 Real Number 3
Chapter 2
Class 10 Case based problem of Chapter 2 Polynomials 1
Class 10 Case based problem of Chapter 2 Polynomials 2
Class 10 Case based problem of Chapter 2 Polynomials 3
Chapter 3
Class 10 Case based problem of Chapter 3 Pair of Linear eq 1
Class 10 Case based problem of Chapter 3 Pair of Linear eq 2
Chapter 4
Class 10 Case based problem of Chapter 4 quadratic eq 1
Class 10 Case based problem of Chapter 4 Quadratic eq 2
Chapter 5
Class 10 Case based problem of Chapter 5 A.P. 1
Class 10 Case based problem of Chapter 5 A.P. 2
Chapter 6: Triangles
Class 10 Case based problem of Chapter 6 Triangles 1
Class 10 Case based problem of Chapter 6 Triangles 2
Chapter 7: Coordinate Geometry
Class 10 Case study of Chapter 7 coordinate geometry
chapter 8: Introduction to trigonometry
Class 10 Case study Chapter 8 introduction to Trigonometry
chapter 11
Class 10 case study chapter 11 Area related to circle
Class 10 case study Chapter 11 Area related to circle 2
Linear Algebra
Vector spaces
Vector Space and properties of Vector space
Other
Earning $50000 using ChatGPT and math skills
Use of maths in computer programming
CBSE 12th and 10th Class Date Sheet 2024
The Matrices
Home
Arithemetic Progression
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