If (a + b) : (a - b) = 13 : 3, a : b is :

1. $\dfrac{13}{3}$

2. $\dfrac{3}{13}$

3. $\dfrac{5}{8}$

4. $\dfrac{8}{5}$

The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.

The values of A and B are :

1. A = 16 and B = 18

2. A = 32 and B = 9

3. A = 9 and B = 32

4. A = 18 and B = 16

If x = y, the value of (3x + y) : (5x - 3y) is :

1. 1 : 2

2. 2 : 1

3. 3 : 2

4. 2 : 3

x : y = 3 : 2 and (x² + y²) : (x² - y²)

Assertion (A) : The value of (x² + y²) : (x² - y²) = 13 : 5

Reason (R) : x : y = 3 : 2

⇒ $\dfrac{x^2 + y^2}{x^2 - y^2} = \dfrac{(3k)^2 + (2k)^2}{(3k)^2 - (2k)^2} = \dfrac{13}{5}$ ; k ≠ 0

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is the correct reason for R.

4. Both A and R are true and R is the incorrect reason for R.