 | Lyn Baker - Mathematics - 2001 - 242 pages
...then a = 0, b = 0 and с = 0. • Preliminary Mathematics Ш The parabola x 2 = A parabola is defined as the locus of a point which moves so that its distance from a fixed point (the focus) is equal to its distance from a fixed line (the directrix). If we choose any point on the... | |
 | John Compton, Allyn Jones - Juvenile Nonfiction - 2002 - 164 pages
...always equal to 5. Our aim is to translate the given verbal sentence into a mathematical equation. The locus of a point which moves so that its distance from a fixed point is a constant represents a circle. Therefore, if a point moves so that it is always 5 units from the... | |
 | Lyn Baker - Juvenile Nonfiction - 2004 - 140 pages
...and с = f . We say that the two equations are identities or are identically equal. О A parabola is the locus of a point which moves so that its distance from a fixed point, the focus, equals its distance from a fixed line, the directrix. • The parabola x2 = 44y has its... | |
 | Lyn Baker - Higher School Certificate Examination (N.S.W.) - 2001 - 316 pages
...8=0 (u-8)(ul)=0 u = 8 or u = 1. 2х = 8 x = 3 or or 2х =1 x = 0. The Parabola x2 = 4Ay A parabola is the locus of a point which moves so that its distance from a fixed point (the focus S) is equal to its distance from a fixed line (the directrix). The focal length is the distance... | |
 | A.E. Roy - Science - 2020 - 552 pages
...eccentricity (ie a circle). These cases will now be examined in detail. 4.5 The Elliptic Orbit An ellipse is the locus of a point which moves so that its distance from a fixed point, the focus, bears a constant ratio (less than 1) to its distance from a fixed line, the directrix. In... | |
 | N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...FromrtZdAOBQ, OQ = VoB2-BQ2=A/02-y 0(0,0,0} ¥A/¿ . =fl >3 which is the required distance. Examples. Find the locus of a point which moves so that its distance from the linex = y = z is twice its distance from the B (o,a,o } Q plane x + y + z = 1. xyz Sol. Let P(JC,,... | |
 | Martin V. Zombeck - Science - 2006 - 95 pages
...(Adapted from Fundamental Formulas of Physics DH Menzel, ed., Prentice-Hall, Inc., 1955) or Definition: the locus of a point which moves so that its distance from a fixed point (focus) bears a constant ratio e (eccentricity) to its distance from a fixed straight line (directrix).... | |
 | Narayan Shanti & Mittal P.K. - Mathematics - 2007 - 436 pages
...directrix definition of a conic. I. The definition according to Maccullagh is as follows : The conicoid is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a given straight line measured parallel to a given plane.... | |
 | Jeff Geha - Juvenile Nonfiction - 2007 - 364 pages
...= 1 . # 143 LOCUS AND THE PARABOLA (A) The Parabola x 2 = 4 av (i) Locus A parabola is defined as a locus of a point which moves so that its distance from a fixed point (called the focus) is equal to its distance from a fixed straight line (called the directrix). This... | |
 | John Bryant, Christopher J. Sangwin - Mathematics - 2008 - 352 pages
...parabola, and the line the directrix (see figure 2.26). Indeed, the parabola is more traditionally defined as the locus of a point which moves so that its distance from a fixed point is equal to its perpendicular distance from a fixed straight line. From this its equation is derived.... | |
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A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix. 
