Ellipse and Hyperbola in standard form

An ellipse is a geometric shape that looks like a flattened circle. It is defined as the set of all points in a plane, the sum of whose distances from two fixed points (called the foci) is constant. The standard form equation of an ellipse centered at the origin is: (x^2 / a^2) + (y^2…

Concurrency of lines

In analytical geometry, the concurrency of lines refers to the situation where three or more lines intersect at a common point. To determine if three lines are concurrent, we can use the following method: Alternatively, we can use determinants to test for concurrency. The equations of three lines can be represented by a system of…