Statement 1: x > 0 and $x^2 + \dfrac{1}{x^2}$ = 2, then $x^2 - \dfrac{1}{x^2}$ = 0

Statement 2: $(x + \dfrac{1}{x})^2 = x^2 + \dfrac{1}{x^2} + 2$ = 2 + 2 = 4

$(x - \dfrac{1}{x})^2 = x^2 + \dfrac{1}{x^2} - 2$ = 2 - 2 = 0

and, $(x^2 - \dfrac{1}{x^2}) = (x + \dfrac{1}{x})(x - \dfrac{1}{x})$

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A): x² - 5x - 1 = 0

⇒ x - $\dfrac{1}{x}$ = 5 is true.

Reason (R): x² - 5x- 1 = 0

⇒ x - $\dfrac{1}{x}$ = 5

But x - $\dfrac{1}{x}$ = 5 is true when x ≠ 0.

1. A is true, but R is false.

2. A is false, but R is true.

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

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

Assertion (A): If x > y, x + y = 6 and x - y = 2 then x² + y² = 40

Reason (R): (x + y)² + (x - y)² = 2(x² + y²)

1. A is true, but R is false.

2. A is false, but R is true.

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

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

Assertion (A): 5³ - 3³ - 2³ = 3 x 5 x -3 x -2

Reason (R): ∵ 5 - 3 - 2 = 0

⇒ 5³ - 3³ - 2³ = 5³ + (-3)³ + (-2)³

1. A is true, but R is false.

2. A is false, but R is true.

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

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