set theory

Consider the set S of points (x, y) ∈ R² which minimize the real valued function f(x, y) = (x + y − 1)² + (x + y)² Which of the following statements is true about the set S?

Among 150 faculty members in an institute, 55 are connected with each other through Facebook® and 85 are connected through WhatsApp®. 30 faculty members do not have Facebook® or Wh...

The probabilities that a student passes in Mathematics, Physics and Chemistry are $$m, p$$ and $$c$$ respectively. Of these subjects, the student has $$75$$% chance of passing in a...