Length of Latusrectum Shortcut

Length of Latusrectum Shortcut #conicsection #maths #coordinategeometry‎ ‪@Integralganit‬
your queries:-
👉Conic sections are a fundamental concept💡 in mathematics
describing the curves obtained by intersecting a cone with a plane.
Here's a brief description of each type of conic section
👉*Circle*:
A circle is a conic section where the plane is perpendicular to the axis of the cone.
👉*Ellipse*:
An ellipse is a conic section where the plane is tilted at an angle less than 90 degrees to the axis of the cone.
👉*Parabola*:
A parabola is a conic section where the plane is parallel to the axis of the cone.
👉*Hyperbola*:
A hyperbola is a conic section where the plane is tilted at an angle greater than 90 degrees to the axis of the cone.
👉*Rectangle*:
A rectangle is a special case of a conic section where the plane is perpendicular to the axis of the cone and passes through the center of the cone.
👉Conic sections have numerous applications in various fields
including:
*Geometry*:
Studying shapes and their properties.
*Algebra*:
Solving equations and graphing functions.
*Calculus*:
Finding derivatives and integrals.
*Physics*:
Describing trajectories of objects, like planets and projectiles.
*Engineering*:
Designing structures
like bridges and satellite dishes.
*Computer Science*:
Creating graphics and modeling real-world phenomena.
👉Conic sections have been a vital part of mathematics and science for centuries offering insights into the nature of curves and their applications in various fields
Here are some tags related to conic sections:
#ConicSections
#Circle
#Ellipse
#Parabola
#Hyperbola
#Rectangle
#Geometry
#Algebra
#Calculus
#Math
#Mathematics
#Graphing
#Equations
#Functions
#Trajectories
#Orbits
#Physics
#Engineering
#ComputerScience
#Graphics
#Modeling
#CurveFitting
#AnalyticGeometry
#CoordinateGeometry
#TransformationalGeometry
#MathHelp
#Math_Tutor
#Math_Lessons
#MathEducation
👉💡The length of the latus rectum of a parabola is a fundamental concept in geometry and algebra
Definition:
The latus rectum is the line segment passing through the focus and perpendicular to the directrix of a parabola
Length:
The length of the latus rectum (L) is equal to 4a
where 'a' is the distance from the vertex to the focus
Formula: L = 4a
Example:
If the vertex of a parabola is at (0,0) and the focus is at (3,0), then the length of the latus rectum is L = 4(3) = 12
The length of the latus rectum has important applications in various fields, including
Geometry
Studying shapes and their properties
Algebra
Graphing parabolas and solving equations
Physics
Modeling projectile motion and trajectories
Engineering
Designing structures and optimizing shapes
Remember
the length of the latus rectum is a key feature of parabolas
helping us understand their geometry and applications

[@SouvikCivil]

I will share this video with my college professor. I am sure he will learn to teach properly one day

[@Integralganit]

@@SouvikCivil thank for supporting me