The two circles x² + y² = r² and x² + y² – 10x + 16 = 0 intersect at two distinct points. Then which one of the following is correct?

What is the equation of the ellipse having foci (±2, 0) and the eccentricity 1/2?

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…

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