Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.3 Question 1. Find vector product of vectors and Solution: Question 2. Find perpendicular unit vector of vectors and Solution: Question 3. For vectors and , prove that Solution: Question 4. Prove that Solution: According to question, Question 5. If , , are unit vectors,…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.2 Question 1. If magnitude of two vectors be 4 and 5 units, then find scalar product of them, where angle between them be : (i) 60° (ii) 90° (iii) 30° Solution: Question 2. Find . , if and are as follow : Solution: Question…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.2 Question 1. If magnitude of two vectors be 4 and 5 units, then find scalar product of them, where angle between them be : (i) 60° (ii) 90° (iii) 30° Solution: Question 2. Find . , if and are as follow : Solution: Question…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.1 Question 1. Compute the magnitude of the following vectors : Solution: Question 2. Write two different vectors having same magnitude. Solution: Question 3. Write two different vectors having same direction. Solution: Question 4. Find the values of x and y so that the vectors…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Miscellaneous Exercise Question 1. Solution of differential equation Solution: Hence, option (b) is correct. Question 2. Solution: Thus Option (a) is correct. Question 3. Solution of + cos x tan y = 0 is : (a) log sin y + sin x + C (b)…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.9 Solve the following differential equations : Question 1. + xy = x3y3. Solution: Question 2. = ex-y (ex – ey) Solution: Question 3. – y tan x = – y2 sec x Solution: Question 4. tan x cos y + sin y +…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.8 Solve the following differential equations : Question 1. Solution: Question 2. Solution: Question 3. Solution: Question 4. Solution: Question 5. Solution: Question 6. Solution: Question 7. Solution: Question 8. Solution: Question 9. dx + xdy = e-y sec2 y dy Solution: dx +…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.7 Solve the following differential equations : Question 1. Solution: h and k are such that 3h + 2k – 5 = 0 and 2h + 3k – 5 = 0 Putting these values in equation h = 1 ,k = 1 This is…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.6 Solve the following differential equations : Question 1. x2 ydx – (x3 + y3) dy = 0 Solution: Question 2. Solution: Question 3. Solution: Question 4. Solution: Question 5. Solution: So f(x,y) is homogeneous function. ∴ Given equation is homogeneous Now y =…
Read more
Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.5 Solve the following differential equations : Question 1. (x + y)2 = a2 Solution: Given equation Question 2. = Solution: Question 3. cos (x + y) dy = dx Solution: Question 4. ex+y = 1 + Solution: Question 5. (x + y) (dx –…
Read more