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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 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

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.6 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.6 Question 1. x = 2at², y = at4 Solution: x = 2at², y = at4 So, = 4at, = 4at³. ∴ =

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.1 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.1 Question 1. Prove that the function f(x) = 5x – 3 is continuous at x = 0, at x = – 3

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.6 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.6 For each of the differential equations given in questions 1 to 12, find the general solution: Question 1. + 2y = sin x Solution:

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 9.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 9 Differential Equations Ex 9.3 In each of the questions 1 to 5, form a differential equation representing the given family of curves by eliminating arbitrary constants a and

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)

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 10 Vector Algebra Ex 10.3 Question 1. Find the angle between two vectors and with magnitudes and 2 respectively, and such that . = . Solution: We know that

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 9 Social Science Chapter 5 Movement Towards IndependenceTextbook Questions and Answers, Additional Important Questions, Notes Pdf. Movement Towards Independence Class 9 GSEB Solutions Social Science Chapter 5 Gujarat Board Class 9 Social Science Movement Towards Independence Textbook Questions and Answers 1. Answer the following questions to the point: Movement

Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 4 Determinants Miscellaneous Exercise Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Miscellaneous Exercise Question 1. Prove that the determinant independent of θ. Solution: Let ∆ = Expanding with the help of elements of I row, we get ∆ =

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 5 Continuity and Differentiability Ex 5.3 Textbook Questions and Answers. Gujarat Board Textbook Solutions Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.3 Question 1. 2x + 3y = sin x Solution: 2x + 3y = sin x. Differentiating w.r.t. x, 2x + 3 =