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Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.5 Question 1. Solution: A11 = (-1)1+1 M11 = 4 A12 = (-1)1+2 M12 = – 3 A21 = (-1)2+1 M21 = – 2 A22 = (-1)2+2 […]

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.5 Integrate the following functions: Question 1. Solution: may be written as = + ∴ x = A(x + 2) + B(x + 1) Put x =

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.4 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 7.3 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 11 Maths Chapter 16 Probability Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 16 Probability Miscellaneous Exercise Question 1. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn at random from the box, what is

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 16 Probability Ex 16.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 16 Probability Ex 16.3 Question 1. Which of the following cannot be valid assignments of probability for outcomes of sample space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7}.

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 16 Probability Ex 16.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 16 Probability Ex 16.2 Question 1. A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 16 Probability Ex 16.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 16 Probability Ex 16.1 In each of the following questions 1 to 7, describe the sample space for the indicated experiment: Question 1. A coin is tossed three times. Solution:

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 15 Statistics Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 15 Statistics Miscellaneous Exercise Question 1. The mean and variance of 8 observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 15 Statistics Ex 15.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 15 Statistics Ex 15.3 Question 1. From the data given below, state which group is more variable A or B? Solution: ∴ σ = 15.09. Coefficient of variance (C.V.) For

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 15 Statistics Ex 15.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 15 Statistics Ex 15.2 Find the mean and variance for the following data in questions 1 to 5: 1. 6, 7, 10, 12, 13, 4, 8, 12 2. First n

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 15 Statistics Ex 15.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 15 Statistics Ex 15.1 Find the mean deviation about the mean for the data in questions 1 and 2: 1. 4, 7, 8, 9, 10, 12, 13, 17 2. 38,

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.2 Integrate the following: Question 1. Solution: Question 2. Solution: Question 3. Solution: I = ∫dt = log t + C = log |1 + log x|

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 7 Integrals Ex 7.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 7 Integrals Ex 7.1 Find an antiderivative (or integral) of the following by the method of inspection: Question 1. sin 2x Solution: We know that cos 2x = – 2sin

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 13 Limits and Derivatives Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 13 Limits and Derivatives Miscellaneous Exercise Question 1. Find the derivatives of the following from first principle: (i) – x (ii) (- x)-1 (iii) sin (x + 1)

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 13 Limits and Derivatives Ex 13.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 13 Limits and Derivatives Ex 13.2 Question 1. Find the derivative of x2 – 2 at x = 10. Solution: Derivative of f(x) at x = a is

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 13 Limits and Derivatives Ex 13.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 13 Limits and Derivatives Ex 13.1 Evalute the following limits in questions 1 to 22: 1. (x + 3) 2. (x – ) 3. (πr2) 4. 5. 6.

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.4 Write minors and cofactors of elements of the following determinants: Question 1. (i) (ii) Solution: (i) ∆ = Minor of a11 is M11 = 3, Minor

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Miscellaneous Exercise Question 1. Write the negations of the following statements: p : For every positive real number x, the number x – 1 is also

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.5 Question 1. Show that the statement p : “If x is real number such that x3 + 4x = 0, then x = 0