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 +…
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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…
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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…
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Rajasthan Board RBSE Class 11 Maths Chapter 3 Trigonometric Functions Miscellaneous Exercise Question 1. A right angle is: (A) equal to a radian (B) equal to 90 degree (C) equal to 18° (D) equal to 90 radian Solution : (B) equal to 90 degree Question 2. Which trigonometric function is positive in third quadrant: (A) sin…
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Rajasthan Board RBSE Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.3 Question 1. Prove that . Solution: Question 2. . Solution: Question 3. . Solution: Question 4. . Solution: Question 5. Find the value of : (i) sin 75° (ii) tan 15° Solution : (i) sin 75° = sin (45° + 30°) = sin 45°.cos…
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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…
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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),…
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Rajasthan Board RBSE Class 11 Maths Chapter 2 Relations and Functions Ex 2.4 Question 1. Classify the following functions is the form of one-one, many one, into and onto, also give reason to support your answer. (i) f : Q → Q, f(x) = 3x + 7 (ii) f : C → R, f(x +…
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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,…
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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…
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