Author name: Prasanna

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.1 Question 1. Prove that the function f(x) = 5x – 3 is continuous at x = 0, at x = – 3 […]

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.5 Question 1. cos x . cos 2x . cos 3x Solution: Let y – cos x . cos 2.x . cos 3x.

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Miscellaneous Exercise Question 1. For each of the differential equations given below, indicate its order and degree (if defined): (i) + 5x()2 – 6y = log

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Ex 8.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Ex 8.1 Question 1. Find the area of the region bounded by the curve y2 = x and the lines x = 1, x

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.3 In each of the questions 1 to 5, form a differential equation representing the given family of curves by eliminating arbitrary constants a and

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.2 In each of the questions 1 to 10, verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.1 Determine orders and degrees (if defined) of the differential equations given ¡n questions 1 to 10: Question 1. + sin(y”’) = 0 Solution: ∴

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 4 Determinants Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Miscellaneous Exercise Question 1. Prove that the determinant independent of θ. Solution: Let ∆ = Expanding with the help of elements of I row, we get ∆ =

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise Question 1. Find the area under the following given curves and given lines: (i) y = x2, x = 1, x =

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Ex 8.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Ex 8.2 Question 1. Find the area of the circle 4×2 + 4y2 = 9 which is interior to the parabola x2 = 4y.

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.2 Question 1. sin(x² + 5) Solution: Let y = sin(x² + 5) Put x² + 5 = t ∴ y = sin

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.6 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.6 Question 1. x + 2y = 2 2x + 3y = 3 Solution: x + 2y = 2 2x + 3y = 3 Let A =

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.4 For each of the differential equations in questions 1 to 10, find the general solution: Question 1. = Solution: ∴ y = 2 tan

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.8 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.8 Evaluate the following definite integrals as limits of the sum: Question 1. x dx Solution: Question 2. (x + 1) dx Solution: Compare (x + 1)

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.7 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.7 Integrate the following functions: Question 1. Solution: Question 2. Solution: Question 3. Solution: Question 4. Solution: Question 5. Solution: Question 6. Solution: Question 7. Solution: Question

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.6 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.6 Integrate the following functions: Question 1. x sin x Solution: Let I = ∫x sin x dx We know that ∫uv dx = u∫v dx –

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Miscellaneous Exercise Integrate the following functions w.r.t x (questions from 1 to 24): Question 1. Solution: Let = = + + ⇒ 1 = A(1 + x)(1 –

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.11 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.11 By using properties of definite integrals, evaluate the following: Question 1. cos2x Solution: Question 2. dx Solution: Question 3. dx Solution: Question 4. Solution: Question 5.

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.10 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.10 Evaluate the following integrals: Question 1. dx Solution: Let I = dx. Put x2 + 1 = t, 2x dx = dt. When x = 1,

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.9 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.9 Evaluate the following definite integrals: Question 1. (x + 1)dx Solution: Question 2. dx Solution: = log 3 – log 2 = log . Question 3.