Class 12

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Miscellaneous Exercise Question 1. (a) () Solution: (b) (33) : Question 2. Show that the functions given by f(x) = has a maximum at […]

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 12 Linear Programming Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 12 Linear Programming Miscellaneous Exercise Question 1. How many packets of each type of foods P and Q should be used to maximise the amount of vitamin A in

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 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 13 Probability Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 13 Probability Miscellaneous Exercise Question 1. A and B are two events such that P(A) ≠ ∅. Find P(B/A), if (i) A is a subset of B (ii) A ∩

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Miscellaneous Exercise Question 1. Show that the line joining the origin to the point (2, 1, 1) is perpendicular the line determined by the

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.3 Question 1. In each of the following cases, determine the direction cosines of the normal to the plane and the distance of

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 12 Linear Programming Ex 12.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 12 Linear Programming Ex 12.1 Solve the following Linear Programming Problems graphically: Question 1. Maximise Z = 3x + 4y subject to constraints: x + y ≤ 4, x

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.4 Question 1. Using differentials, find the approximate value of each of the following upto 3 places of decimal : (i) Solution: (ii)

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 5 Continuity and Differentiability Ex 5.7 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7 Question 1. x² + 3x + 2 Solution: ∴ = 2x + 3 So, = (2x + 3) = 2. Question 2.

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.2 Question 1. Show that the three lines with direction cosines , , ; , , and , , are mutually perpendicular. Solution:

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.1 Question 1. If a line makes angles 90°, 135° and 45° with x, y and z axes respectively, find its direction cosines.

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Miscellaneous Exercise Question 1. Write down a unit vector in XY plane making an angle of 30° with the positive direction of x-axis. Solution: Let OX,

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 10 Vector Algebra Ex 10.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.1 Question 1. Represent graphically a displacement of 40 km, 30° east of north. Solution: A line segment of 2 cm is drawn on the

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.2 Question 1. Compute the magnitudes of the following vectors: = + + , = 2 – 7 – 3, = + – Solution: Question

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.5 In each of the questions 1 to 10, show that the given differential equation is homogeneous and solve each of them: Question 1. (x2

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.4 Question 1. Find | × |, if = – 7 + 7 and = 3 – 2 + 2. = (- 14 + 14)