If the function f(x) = x² - kx is monotonically increasing in the interval (1, ∞), then which one of the following is correct?

What is the area bounded by y = [x], where [⋅] is the greatest integer function, the x-axis and the lines x = -1.5 and x = -1.8?

The tangent to the curve x² = y at (1, 1) makes an angle θ with the positive direction of x-axis. Which one of the following is correct?

Consider the following relations for two events E and F :

1. P(E ∩ F) ≥ P(E) + P(F) - 1

2. P(E ∪ F) = P(E) + P(F) + P(E ∩ F)

3. P(E ∪ F) ≤ P(E) + P(F)

Which of the above relations is/are correct?