STDs

Gujarat Board Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise Gujarat Board Textbook Solutions Class 12 Maths Chapter 8 Application of Integrals Miscellaneous Exercise Question 1. Find the area under the following given curves and given lines: (i) y = x2, x = 1, x = 2 and x-axis. (ii) y […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Ex 3.1 Question 1. In the matrix A = (left[begin{array}{cccc} 2 & 5 & 19 & -7 \ 35 & -2 & frac{5}{2} & 12 \ sqrt{3} & 1 & -5 & 17 end{array}right]), write : (i) The order of the matrix. (ii) The number […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Ex 3.3 Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Ex 3.3 Question 1. Find the transpose of each of the following matrices: (i) (left[begin{array}{c} 5 \ 1 \ hline 2 \ -1 end{array}right]) (ii) (left[begin{array}{cc} 1 & -1 \ 2 & 3 […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Ex 3.4 Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Ex 3.4 Using elementary transformations, find the inverse each of following matrices, if it exists in questions 1 to 17: Question 1. (left[begin{array}{cc} 1 & -1 \ 2 & 3 end{array}right]) Solution: Question […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise Gujarat Board Textbook Solutions Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise Question 1. Let A = (left[begin{array}{ll} 0 & 1 \ 0 & 0 end{array}right]). Show that (aI + bA)n + nan-1bA, where I is the identity matrix of order n ∈ […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.1 Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.1 Question 1. (left|begin{array}{cc} 2 & 4 \ -5 & -1 end{array}right|) Solution: (left|begin{array}{cc} 2 & 4 \ -5 & -1 end{array}right|) = 2 x (-1) – 4 x (-5) = – […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.2 Gujarat Board Textbook Solutions Class 12 Maths Chapter 4 Determinants Ex 4.2 Question 1. (left|begin{array}{lll} x & a & x+a \ y & b & y+b \ z & c & z+c end{array}right|) = 0 Solution: Operating C1 → C1 + C2, we […]

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) (ii) (2, 7), (1, 1), (10, 8) (iii) (-2, -3), (3, 2), (-1, -8) Solution: (i) Area […]

Gujarat Board Textbook Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions Miscellaneous Exercise Gujarat Board Textbook Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions Miscellaneous Exercise Question 1. cos-1(cos(frac { 13π }{ 6 })) Solution: cos-1(cos(frac { 13π }{ 6 })) = cos-1cos(2π + (frac { π }{ 6 }) = cos-1cos(frac { […]