CONICS

CONICS(part1)
 hi everyone, this is Rajvir. I will be going over the basic of Conics we had learned in class.


In unit 6, the conic sections there are 4 main conic sections. 
Circle
Parabola
Ellipse
Hyperbola


First class, we learned about Circles on a coordinate plane. A circle is the set of all points in a plane, each of which is at a fixed distance from a given point. 


Area of a Circle: πr^2


Circumference of a Circle: 2πr


Standard form:

 Read H, K values as opposite. 


Centre: (0, 0)
Radius= √r^2 =r















Centre: (h,k)
Radius: √r^2=r


General form for a circle 




Example 1 

since this conics is a circle and it is in the standard form the center will be a (0,0) 

In this case we are given the h, k values for the center, which is read as opposite. 

Example 2




First : We recognize that this a circle. 
Second : complete the square

Third: Graph 

PARABOLAS 


Next we learned about the Parabolas on a Coordinate Plane.


There are 3 different shapes 

There 2 different types of parabolas


Vertical

Horizontal 



















EXAMPLE 1 

EXAMPLE 2

Hope this was helpful!!!!

 

By-Rajvir