Let S be the set of all points (x, y) in the coordinate plane such that `0<=x<=pi/2` and `0<=y<=pi/2`, then the area of the subset of S for which `sin^2x -sinx siny + sin^2y<=3/4` is

Set S is the set of all points (x, y) in the coordinate plane such that x and y both integers with absolute value less than 4. If one of these points is chosen at random, what is the probability that this point will be 2 units or less from the origin ?

Let f(x) = x^(2) + 6x + 1 and R denote the set of points (x, y) in the coordinate plane such that f(x) + f(y) le 0 and f(x) – f(y) le 0 . The area of R is equal to

Which of the following equations describes the set of all point (x, y) in the coordinate plane that are a distance of sqrt(3) from the point (2, -5) ?

If A(5, 4) and B(7, 6) are points in a plane, then the set of all points P(x, y) in the plane such that AP : PB = 2:3 is

If A(5,- 4) and B (7, 6) are points in a plane then the set of all points P (X,y) in the plane such that AP:PB = 2:3 is