arindameducationusc
  • arindameducationusc
Standard equations of Parabola (Tutorial)
Geometry
katieb
  • katieb
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arindameducationusc
  • arindameducationusc
\(\Large\color{red}{Standard~equations~of~Parabola} \)
arindameducationusc
  • arindameducationusc
\(\Large\color{red}{1)y ^{2}=4ax} \) |dw:1441075611973:dw|
arindameducationusc
  • arindameducationusc
Focus (a,0) Vertex(0,0) directrix, x=-a Foot of directrix (F.D)=(-a,0) T.V (Tangent at vertex)=> x=0 Axis=> y=0 (x-axis) (L.R) Latus rectum=> x=a L.L.R(Length of latus rectum) = > 2a+2a=4a Extremities of L.R (points)=> A(a,2a) , B(a,-2a) // not in diagram

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arindameducationusc
  • arindameducationusc
If you are not able to understand, follow my previous tutorial http://openstudy.com/study#/updates/55d86b8ee4b0a0d51270460b
arindameducationusc
  • arindameducationusc
\(\Large\color{red}{y ^{2}=-4ax} \) |dw:1442127015051:dw|
arindameducationusc
  • arindameducationusc
Focus= (-a,0) Vertex= (0,0) Directrix, x=a F.D (Foot of drirectrix)=(a,0) TV=> x=0 Axis=> y=0 L.R=> x=-a L.L.R=4a Extremities=> A(-a,2a) B(-a,-2a)
arindameducationusc
  • arindameducationusc
|dw:1442127506790:dw| see the extremities A and B in this figure.
arindameducationusc
  • arindameducationusc
\(\Large\color{red}{x ^{2}=4ay} \) |dw:1442127726221:dw|
arindameducationusc
  • arindameducationusc
Focus (0,a) Vertex(0,0) Directrix y=-a F.D=> (0,-a) T.V (y=0) Axis, x=0 L.R, y=a L.L.R=4a Extremities=> A(2a,a) B(-2a,a)
arindameducationusc
  • arindameducationusc
\(\Large\color{red}{x ^{2}=-4ay} \) |dw:1442130145583:dw|
arindameducationusc
  • arindameducationusc
Focus (0,-a) Vertex (0,0) Directrix y=a F.D=> (0,a) T.V=> y=0 axis=> x=0 L.R=> y=-a LLR=> 4a Extremities of LR A(2a,-a), B(-2a,-a)
arindameducationusc
  • arindameducationusc
Happy Learning...... :)
arindameducationusc
  • arindameducationusc
Just check if I made any mistakes @Irishboy123 @Astrophysics @Photon336 @Robert136 @Nnesha @Zale101 Thank you.. :)
IrishBoy123
  • IrishBoy123
thank you mate! i'm going to read this later
arindameducationusc
  • arindameducationusc
Sure @Irishboy123 :)
anonymous
  • anonymous
Good work! :)
arindameducationusc
  • arindameducationusc
Thank you @ChiefArnav
hartnn
  • hartnn
Good one! *Bookmarked*
arindameducationusc
  • arindameducationusc
Thank you @hartnn :)
Photon336
  • Photon336
awesome work!
arindameducationusc
  • arindameducationusc
@Photon336 Thank you.... :)

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