# Prasanna ## GSEB Solutions Class 12 Maths Chapter 12 Linear Programming Ex 12.2

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 12 Linear Programming Ex 12.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 12 Linear Programming Ex 12.2 Question 1. Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture …

## GSEB Solutions Class 12 Maths Chapter 13 Probability Ex 13.5

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.5 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.5 Question 1. A dice is thrown 6 times. “If getting an odd number” is a success, what is the probability of (i) 5 successes? (ii) At …

## GSEB Solutions Class 12 Maths Chapter 13 Probability Ex 13.4

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.4 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.4 Question 1. State which of the following are not probability distribution of a random variable. Give reasons for your answers. Solution: (i) Sum of probabilities = …

## GSEB Solutions Class 12 Maths Chapter 13 Probability Ex 13.3

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.3 Question 1. An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned in to …

## GSEB Solutions Class 12 Maths Chapter 13 Probability Ex 13.2

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.2 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 13 Probability Ex 13.2 Question 1. If P(A) = and P(B) = , find P(A ∩ B), if A and B are independent events. Solution: A and B are independent …

## GSEB Solutions Class 12 Maths Chapter 6 Application of Derivatives Miscellaneous Exercise

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 …

## GSEB Solutions Class 12 Maths Chapter 12 Linear Programming Miscellaneous Exercise

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 …

## GSEB Solutions Class 12 Maths Chapter 13 Probability Ex 13.1

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 …

## GSEB Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.5

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 …

## GSEB Solutions Class 12 Maths Chapter 13 Probability Miscellaneous Exercise

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 ∩ …

## GSEB Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Miscellaneous Exercise

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 …

## GSEB Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.3

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 …

## GSEB Solutions Class 12 Maths Chapter 12 Linear Programming Ex 12.1

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 …

## GSEB Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.4

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) …

## GSEB Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.8

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, …

## GSEB Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7

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. …

## GSEB Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.2

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: …

## GSEB Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry Ex 11.1

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. …

## GSEB Solutions Class 12 Maths Chapter 10 Vector Algebra Miscellaneous Exercise

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, …

## GSEB Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.3

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 …