parabola

Problem
A parabola has an equation of y2 = 8x. Find the equation of the diameter of the parabola, which bisect chords parallel to the line x – y = 4.

A.   y = 2 C.   y = 4
B.   y = 3 D.   y = 1

 

Diameter of Parabola, Diameter of Ellipse, Conjugate Diameters - CE Board Problem

The Parabola

Definition of Parabola

Parabola is the locus of point that moves such that it is always equidistant from a fixed point and a fixed line. The fixed point is called focus and the fixed line is called directrix.
 

Parabola with vertex at the origin and open to the right

 

Conic Sections

Definition
Conic sections can be defined as the locus of point that moves so that the ratio of its distance from a fixed point called the focus to its distance from a fixed line called the directrix is constant. The constant ratio is called the eccentricity of the conic.
 

Subscribe to RSS - parabola