If a and b are unit vectors and θ is the angle between them, then what is sin²(θ/2) equal to ?

What is the ratio in which the point C(2, 20/7) divides the line joining the…

What is the equation of the circle which passes through the points (3, -2) and…

The two circles x² + y² = r² and x² + y² – 10x +…

If the three consecutive vertices of a parallelogram are (-2, -1), (1, 0) and (4,…

The incenter of the triangle with vertices A(1, √3), B(0, 0) and C(2, 0) is