Class 12

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.3 Question 1. Find the angle between two vectors and with magnitudes and 2 respectively, and such that . = . Solution: We know that […]

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 Question 1. 2x + 3y = sin x Solution: 2x + 3y = sin x. Differentiating w.r.t. x, 2x + 3 =

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.4 Question 1. Solution: Let y = . where x ≠ nπ, x ∈ Z. Question 2. Solution: Let y = Put sin-1x

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.6 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.6 Question 1. x = 2at², y = at4 Solution: x = 2at², y = at4 So, = 4at, = 4at³. ∴ =

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 –