Class 11

Rajasthan Board RBSE Class 11 Maths Chapter 5 Complex Numbers Ex 5.2 Question 1. Find the arguments of the following numbers: Solution: Question 2. Express the following complex numbers into the polar form: Solution: Question 3. If z1 and z2 are two non-zero complex numbers, then prove that arg z1 = arg z1 – arg … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 5 Complex Numbers Ex 5.1 Question 1. Write the following in simplest form: (i) i52 (ii) √-2 √-3 (iii) (1 + i)5 (1 – i)5 Solution: Question 2. Find the additive and multiplicative inverse of following numbers: (i) 1 + 2i (ii) 1/(3 + 4i) (iii) (3 + … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Question 1. If statement is P(n) : (n + 3) < 2n+3 then write P(4). Solution: P(n) : (n + 3) < 2n+3 Putting n = 4 P(4) : (4 + 3) < 24+3 P(4) : 7 < 27 P(4) : 7 … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 2 Relations and Functions Miscellaneous Exercise Question 1. If A = {a, b, c, d} and B = {p, q, r, s} then relation from A to B is (A) {(a, p), (b, s, (c, r)} (B) {(a, p), (b, q), (c, r), (s, d)} (C) {{b, a), … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 2 Relations and Functions Ex 2.3 Question 1. Examine which of the following is/are functions: (i) {(1, 2), (2, 3), (3, 4), (2, 1)} (ii) {(a, 0), (b, 0), (c, 1), (d, 1)} (iii) {(1, a), (2, b), (1, b), (2, a)} (iv) {(a, a), (b, b), (c, … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 2 Relations and Functions Ex 2.2 Question 1. Examine the reflexivity, symmetricity, and transitivity of the following relations: (i) mR1n ⇔ m and n both are odd, ∀ m, n ∈ N (ii) In the power set P(A) of set AR2B ⇔ A ⊆ B, ∀ A, B … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.2 Question 1. cos x = – , x lies in third quadrant. Solution : According to question, cos x = and x lies in IIIrd quadrant If x lies in IIIrd quadrant 180° ≤ x ≤ 270°, (π ≤ x ≤ π) Hence, in … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.1 Question 1. Find the radian measures corresponding to the following degree measures (i) 25° (ii) -47°30′ (iii) 520° Solution : Question 2. Find the degree measures corresponding to the following radian measures (i) (ii) -4 (iii) Solution: Question 3. A wheel makes 360 revolutions … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 2 Relations and Functions Ex 2.1 Question 1. If A = {1, 2, 3}, B = {4, 5, 6}, then which of the following is relation from A to B? Justify your answer also. (i) {(1, 4), (3, 5), (3, 6) (ii) {(1, 6), (2, 6), (3, 6)} … Read more

Rajasthan Board RBSE Class 11 Maths Chapter 1 Sets Miscellaneous Exercise Question 1. Solution of equation x2 + x – 2 = 0 in Roster form is: (A) {1, 2} (B) {-1, 2} (C) {-1, -2} (D) {1, -2} Solution: Given, x2 + x – 2 = 0 x2 + 2x – x – 2 … Read more