CUET Level II JEE Mock Test 1(25-26)

Let f : R → R be defined by f(x) = 1/x ∀ x ∈ R. Then f is

• one-one

• onto

• bijective

• f is not defined

Let A = {1, 2, 3}. Then the number of relations containing (1, 2) and (1, 3), which are reflexive and symmetric but not transitive is

• 1

• 2

• 3

• 4

• identity matrix

• symmetric matrix

• skew symmetric matrix

• none of these

• -6, -12, -18

• -6, -4, -9

• -6, 4, 9

• -6, 12, 18

Set A has 3 elements, and set B has 4 elements. Then the number of injective mappings that can be defined from A to B is

• 144

• 12

• 24

• 64

• 9

• 14

• 5

• 8

Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}. Then R is

• reflexive but not symmetric

• reflexive but not transitive

• symmetric and transitive

• neither symmetric, nor transitive

Let f : R → R be defined by f(x) = x² + 1. Then, pre-images of 17 and – 3, respectively, are

• φ, {4, – 4}

• {3, – 3}, φ

• {4, –4}, φ

• {4, – 4}, {2, – 2}

If α ≤ 2 sin^–1x + cos^–1x ≤ β, then

• α = -π/2, β = π/2

  
  

• α = 0, β = π

• α = -π/2, β = 3π/2

• α = 0, β = 2π

The value of the expression sin [cot^–1 (cos (tan^–1 1))] is

• 0

• 1

• 1/√3

• √(2/3)