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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 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 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 3 Matrices Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise Question 1. Let A = . Show that (aI + bA)n + nan-1bA, where I is the identity matrix of order n ∈ N Solution: Apply

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 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 4 Determinants Ex 4.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.3 Question 1. Find the area of the triangle with vertices at the points given in each of the following: (i) (1, 0), (6, 0), (4, 3)

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.2 Question 1. = 0 Solution: Operating C1 → C1 + C2, we get = = 0, since 1st and 3rd columns are identical. Question 2. =

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

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.4 Question 1. Rewrite the following statement with ‘if-then’ in five different ways, conveying the same meaning: ‘If a natural number is odd, then its

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.3 Question 1. For each of the following compound statements, first identify the connecting words and then break it into component statements: All rational numbers

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 9 Sequences and Series Ex 9.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 9 Sequences and Series Ex 9.4 Find the sum of n terms of the following series: 1. 1 × 2 + 2 × 3 + 3 × 4

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 9 Sequences and Series Ex 9.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 9 Sequences and Series Ex 9.3 Question 1. Find the 20th and nth terms of the G.P., , , , ………………. Solution: Tn = arn-1. Here a =