What is the number of intersections between and ?
For any real number , the parabola passes through the common point . What is the value of
Consider the point on the ellipse given by the equation . There are two points and on the ellipse whose distance from is a maximum. What is the value of ?
Point is the center of the ellipse with major axis & minor axis Point F is one of the focus of this ellipse.
If , and the diameter of inscribed circle of triangle is , then find
There are four lines that are tangent to both circles
What is the sum of the slopes of these four lines?