Class 12

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 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 5.5 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 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 13 Probability Ex 13.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.1 Question 1. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P(E/F) and

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.8 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.8 Question 1. Verify Rolle’s Theorem for the function f(x) = x² + 2x – 8, x ∈ [- 4, 2]. Solution: Now,

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.5 Question 1. Find the maximum and minimum values, if any, of the following functions given by (i) f(x) = (2x – 1)²

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.3 Question 1. Find the slope of the tangent to the curve y = 3×4 – 4x at x = 4. Solution: The

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Miscellaneous Exercise Question 1. (3x² – 9x + 5)9 Solution: Let y = (3x² – 9x + 5)9 = 9, where u = 3x²

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 9.1 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 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 Ex 7.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.3 Find the integrals of the following: Question 1. sin2(2x + 5) Solution: Question 2. sin3x cos4x Solution: Question 3. cos2x cos4x cos6x Solution: Question 4. sin3(2x

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 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 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.