PART - 1 CH - 2 Relations and Functions — MATHS STD 11 Science — Question

1. $\frac{13}{15}$
   
2. $\frac{13}{18}$
   
3. $\frac{1}{9}$
   
4. $\frac{8}{9}$
   

If $\Big(\frac{1+\text{i}}{1-\text{i}}\Big)^{\text{x}}=1,$ then:

1. x = 2n + 1
2. x = 4n
3. x = 2n
4. x = 4n + 1, where n ∈ N

Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then

1. $\text{S}\cap\text{T}\cap\text{C}=\phi$

2. $\text{S}\cup\text{T}\cup\text{C}=\text{C}$

3. $\text{S}\cup\text{T}\cup\text{C}=\text{S}$

4. $\text{S}\cup\text{T} = \text{S}\cap\text{C}$