Latus Rectum Calculator

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Choose the type of conic section you are working with.
The A coefficient in y = Ax² + Bx + C (or x = Ay² + By + C). Must be non-zero.
The B coefficient in y = Ax² + Bx + C (or x = Ay² + By + C).
The C coefficient in y = Ax² + Bx + C (or x = Ay² + By + C).
Latus rectum lengthNarrow latus rectum
0.5

Length of the chord through the focus perpendicular to the principal axis

Semi-latus rectum0.25
Endpoint 1(0.7500, 4.1250)
Endpoint 2(1.2500, 4.1250)
Focus(1.0000, 4.1250)
Eccentricity1
Latus rectum0.5
Semi-latus rectum0.25

Latus rectum: 0.5000 units

  • The latus rectum length is 0.5000, so the semi-latus rectum is 0.2500.
  • A parabola has exactly one latus rectum passing through its single focus.
  • The length equals 4p, where p is the distance from the vertex to the focus. A shorter latus rectum means a more tightly curved parabola.

Next stepThe endpoints (0.7500, 4.1250) and (1.2500, 4.1250) lie on the conic and define the latus rectum chord through the focus at (1.0000, 4.1250).

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