Chapter 5 Vectors Ex 5.4

Chapter 5 Vectors Ex 5.4 Chapter 5 Vectors Ex 5.4 Question 1.Solution: Question 2. Question 3. ∴ θ = 60°. Question 4. ∴ unit vectors perpendicular to both the vectors a¯ and b¯.…

Chapter 5 Vectors Ex 5.3

Chapter 5 Vectors Ex 5.3 Chapter 5 Vectors Ex 5.3 Question 1. Question 2. ∴ LHS = RHS Hence, (a¯ + b¯)2 = (a¯ – b¯)2. Question 3. ∴ c < 0. Hence, the angle…

Chapter 5 Vectors Ex 5.2

Chapter 5 Vectors Ex 5.2 Chapter 5 Vectors Ex 5.2 Question 1. (ii) externally.Solution: If R(r¯) divides the line segment joining P and Q externally in the ratio 3 :…

Chapter 5 Vectors Ex 5.1

Chapter 5 Vectors Ex 5.1 Chapter 5 Vectors Ex 5.1 Question 1.Solution: Question 3.Solution: Question 4.If ABCDEF is a regular hexagon, show Solution: ABCDEF is a regular hexagon. ∴ by…

Chapter 4 Pair of Straight Lines Ex 4.3

Chapter 4 Pair of Straight Lines Ex 4.3 Chapter 4 Pair of Straight Lines Ex 4.3 Question 1.Find the joint equation of the pair of lines:(i) Through the point (2,…

Chapter 4 Pair of Straight Lines Ex 4.2

Chapter 4 Pair of Straight Lines Ex 4.2 Chapter 4 Pair of Straight Lines Ex 4.2 Question 1.Show that lines represented by 3x2 – 4xy – 3y2 = 0 are perpendicular to…

Chapter 4 Pair of Straight Lines Ex 4.1

Chapter 4 Pair of Straight Lines Ex 4.1 Chapter 4 Pair of Straight Lines Ex 4.1 Question 1.Find the combined equation of the following pairs of lines:(i) 2x + y…

Chapter 3 Trigonometric Functions Miscellaneous Exercise 3

Chapter 3 Trigonometric Functions Miscellaneous Exercise 3 Chapter 3 Trigonometric Functions Miscellaneous Exercise 3 I) Select the correct option from the given alternatives.Question 1.The principal of solutions equation sinθ = −1/2 are…

Chapter 3 Trigonometric Functions Ex 3.3

Chapter 3 Trigonometric Functions Ex 3.3 Chapter 3 Trigonometric Functions Ex 3.3 Question 1.Find the principal values of the following : Question 2.Evaluate the following :Solution: Solution: (iii) tan-1√3 – sec-1(-2)Solution:…