Parabola

Scorching goIITian

Posted on
5 Oct 2011 14:56:41 IST
Posts: 227
5 Oct 2011 14:56:41 IST
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Parabola

 Here are some important formulae for PARABOLA which can help a lot in this topic............................

                                                                       When equation is y^2 = 4ax

coordinates of vertex = (0,0)

coordinates of focus= (a,0)

Equation of the directrix => x =-a

Equation of the axis = y = 0

Length of the latus rectum = 4a

Focal distance of a point P ( x,y) = a+x

                                                                         When equation is y^2 = -4ax

Coordinates of the vertex = (0,0)

coordinates of the focus = ( -a,0)

equation of the directrix = x = a

equation of the axis = y = 0

Length of the latus rectum = 4a

Focal distance of a point P (x,y) = a-x

                                                                                   When equation is x^2 = 4ay

Coordinates of vertex = (0,0)

coordinates of focus = (0,a)

equation of the directrix = y = -a

Equation of the axis = x = 0

Length of the latus rectum = 4a

Focal distance of a point P (x,y) = a+y

                                                                        When equation is x^2 = -4ay

Coordinates of vertex = (0,0)

Coordinates of the focus = ( 0,-a)

Equation of the directrix = y = a

Equation of the axis = x = 0

Length of the latus rectum = 4a

Focal distance of a point P (x,y) = a-y

I hope this will help a lot to the readers..................and they'll  find it quite easier.........

 

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Comments (3)


New kid on the Block

Joined: 29 Sep 2011 16:25:58 IST
Posts: 16
5 Oct 2011 18:48:52 IST
1 people liked this

Really.......it's very useful and important too........Grate..........

Blazing goIITian

Joined: 27 Dec 2010 11:39:18 IST
Posts: 1474
6 Oct 2011 11:26:16 IST
0 people liked this

commendable effort.

but i don't understand a word. i have not yet started this.

 


Hot goIITian

Joined: 19 Jan 2012 23:09:36 IST
Posts: 191
24 Jan 2012 17:37:05 IST
0 people liked this

This w0nt help bey0nd boards



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