Skip to content

Gmath

  • Class 12
    • Chapter 1
      • Class 12 ncert solution math exercise 1.1
      • Class 12 ncert solution math exercise 1.2
    • Chapter 2
      • 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
      • 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
    • 1. Real Number
      • Exercise 1.1 real number class 10 ncert maths solutions
      • Exercise 1.2 real number class 10 ncert maths solutions
  • 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
      • 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
    • 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
  • Case Study
    • 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
      • 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
      • 11. Three dimesion geometry
        • Case study three dimension geometry 1 chapter 11 class 12
        • 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 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
  • 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

Two group are competing for the position on the Board

20/05/2023 by Dileep namdev

 Question:                      Two group are competing for the position on the Board of Directors of a corporation. The probabilities that the first and second group will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probabilities of introducing a new product is … Read more

Categories Question-Answer Leave a comment

An urn contains 5 red and 2 black balls. Two balls

20/05/2023 by Dileep namdev

Question: 1              An urn contains 5 red and 2 black balls. Two balls are randomly drawn, without replacement. Let X represent the number of black balls drawn. What are the possible values of X ? Is X is random variable ? If yes, find the mean of X. Solution: … Read more

Categories Question-Answer Leave a comment

In a certain collage, 4% of boys and 1% of girls

19/05/2023 by Dileep namdev

Question:           In a certain collage, 4% of boys and 1% of girls are taller than 1.75 metres, Furthermore, 60% of the students in the college are girls. A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the … Read more

Categories Question-Answer Leave a comment

Class 10 Case based problem of Chapter 6 Triangles 1

03/06/202317/05/2023 by Dileep namdev
Class 10 Case based problem of Chapter 6 Triangles 1

Chapter 6 : Triangles Class 10 Case based problem of Chapter 6 Triangles 1 Case Stuydy :1 Peter, who is 1.6 m tall, is standing near a lamp post one day. He observes his shadow and also the shadow of the lamp post on the ground. He wanted to compare the length  of his shadow … Read more

Categories Case Study Leave a comment

find the value of k for which the pair of equation

16/05/2023 by Dileep namdev

Question:   Find the value of k for which the pair of equations kx + 2y = 3 and 3x + 6y = 10 has a unique solution. Solution: Given pair of linear equations is kx + 2y = 3  …….(i) 3x + 6y = 10 …….(ii) For unique solution, Hence, the pair of equations … Read more

Categories Question-Answer Leave a comment

Class 10 Case based problem of Chapter 5 A.P. 2

03/06/202302/05/2023 by Dileep namdev
Class 10 Case based problem of Chapter 5 A.P.

Chapter 5:Arithmetic Progressions Class 10 Case based problem of Chapter 5 A.P. 1 Class 10 Case based problem of Chapter 5 A.P. 2 Case Based :4            Sumit’s father had to undergo knee surgery as he was suffering from lot of pain and unable to walk properly. The physiotheropist asked him … Read more

Categories Case Study Leave a comment

Class 10 Case based problem of Chapter 5 A.P. 1

03/06/202330/04/2023 by Dileep namdev

Chapter 5:Arithmetic Progressions Class 10 Case based problem of Chapter 5 A.P. 1 Case Based :1            The students of a school decided to beautify  the school on an Annual day by fixing colourful flags on the straight passage of the school. A total of 27 flags have to be fixed … Read more

Categories Case Study Leave a comment

Class 10 Case based problem of Chapter 4 Quadratic eq 2

03/06/202327/04/2023 by Dileep namdev

Chapter 4:Quadratic Equation Class 10 Case based problem of Chapter 4 quadratic eq 1 Class 10 Case based problem of Chapter 4 Quadratic eq 2 Case Based: 4       The two gears shown in the figure resemble two circle which touch each other externally. The sum of their areas is 130π sq. cm … Read more

Categories Case Study Leave a comment

Class 10 Case based problem of Chapter 4 quadratic eq 1

03/06/202325/04/2023 by Dileep namdev
Class 10 Case based problem of Chapter 4 quadratic eq 1

Chapter 4:Quadratic Equation Class 10 Case based problem of Chapter 4 quadratic eq 1 Class 10 Case based problem of Chapter 4 Quadratic eq 2 Case Based: 1    A ship is sailing very close to a light house and a right angle triangle is formed by the light house, line joining the ship to … Read more

Categories Case Study Leave a comment

Class 10 Case based problem of Chapter 3 Pair of Linear eq 2

03/06/202323/04/2023 by Dileep namdev

Chapter 3:Pair of Linear equation in two variables 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 Case Based :3   Mr. Jose decided to go to an amusement park along with his family. The cost of a … Read more

Categories Case Study Leave a comment
Older posts
Newer posts
← Previous Page1 Page2 Page3 … Page19 Next →

Recent Posts

  • If cos y = x cos (a + y) with cos a ≠ ± 1 then prove that
  • Find the value of dy/dx at θ = pi/4, if x = aeθ(sin θ – cos θ)
  • If tan inverse y/x = log root x^2 + y^2, then prove that
  • If y^x = e^(y-x), then prove that dy/dx = (1 + logy)^2/log y
  • Class 10 Case study Chapter 8 introduction to Trigonometry

Recent Comments

No comments to show.
© 2023 Gmath • Built with GeneratePress