Relations and Functions Subjective Define universal relation? Give example. Ans: A Relation R in a set A called universal relation if each element of A is related to every element of A. Ex. Let = {2,3,4} R = (AA) = {(2,2),(2,3) (2,4) (3,2) (3,3) (3,4) (4,2) (4,3) (4,4) } What is trivial relation? Ans: Both the empty […]

# Math Class 12

## 12th Math chapter 2 objective in english

Inverse Trigonometric Functions Objective If sin-1(x2 – 7x + 12) = nπ, ∀ n ∈ I, then x = (a) -2 (b) 4 (c) -3 (d) 5 Ans (b) If 6sin-1 (x2 – 6x + 8.5) = π, then x is equal to (a) 1 (b) 2 (c) 3 (d) 8 Ans (b) sin-1 (1 – x) – 2sin-1 x […]

## 12th Math Chapter 1 Objective in English

Relations and Functions Objective The function f : A → B defined by f(x) = 4x + 7, x ∈ R is (a) one-one (b) Many-one (c) Odd (d) Even Ans (a) The smallest integer function f(x) = [x] is (a) One-one (b) Many-one (c) Both (a) & (b) (d) None of these Ans (b) […]

## 12th Math Chapter 2 Objective in hindi

प्रतिलोम त्रिकोणमितीय फलन Objective यदि sin-1(1 – x) – 2sin-1x = π2 तब x का मान है : (a) 0 (b) 0, −12 (c) 0, 12 (d) कोई नहीं Ans (a) sin-1x + cot-1x का मान है : (a) π (b) π/2 (c) −π/2 (d) 1 Ans (b) cos-1(4×3 – 3x) का सरल रूप है : (a) 3sin-1x (b) 3cos-1x (c) π […]

## 12th Math Chapter 1 Objective in Hindi

सम्बन्ध एवं फलन Objective यदि A = {a, b, c}, B = {1, 2, 3) और f = {(a, 1) (b, 2) (c, 2)} तो f कैसा फलन है? (a) एकैक अंत:क्षेपी (b) अनेकैक अंतःक्षेपी (c) अनेकैक आच्छादक (d) एकैक आच्छादक Ans (b) यदि f : R → R जहाँ f(x) = 3x तो कैसा […]