Author name: Prasanna

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

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 14 Mathematical Reasoning Ex 14.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.2 Question 1. Write the negation of the following statements: Chennai is the capital of Tamil Nadu. is not a complex number. All triangles are

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1 Question 1. Which of the following sentences are statements? Give reasons for your answer. There are 35 days in a month. Mathematics is difficult.

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 11 Maths Chapter 12 Introduction to three Dimensional Geometry Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Miscellaneous Exercise Question 1. Three vertices of a parallelogram ABCD are A(3, – 1, 2), B(1, 2, – 4) and

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Ex 12.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Ex 12.3 Question 1. Find the coordinates of the point which divides the line segment joining the points (- 2,

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Ex 12.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Ex 12.2 Question 1. Find the distance between the following pairs of points: (i) (2, 3, 5), (4, 3, 1)

Gujarat Board GSEB Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Ex 12.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 12 Introduction to three Dimensional Geometry Ex 12.1 Question 1. A point is on the x-axis. What are its y-coordinate and z-coordinate? Solution: Any point on

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 11 Maths Chapter 11 Conic Sections Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 11 Maths Chapter 11 Conic Sections Miscellaneous Exercise Question 1. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus. Solution: Taking vertex of the parabolic

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. =