PULLA EDU APP JEE MAIN ADVANCED

 

A parabola is the set of all points on the line that are equidistant from a fixed line and a fixed point in the plane.  The fixed line is called directrix The fixed point is called focus Standard equation of PARABOLA        Y²=4ax

It is the set of all points in a plane that are equidistant from a fixed point in a plane. The fixed  point is called the centre. The fixed  distance is called  the radius Standard Equation  Equation of circle with  centre at (h, k) with radius r (x-h)² + (y-k)²=r² Note: If the centre is at origin Equation of circle =  x²+y²=r² General equation of a circle is x²+y²+2gx+2fy+c=0 with centre =(-g  -f) and radius is √(g²+f²⁻c) *F ind the equation of circle with (2, 3) and radius 8?  (x-h)²+(y-g)²= r² (x-2)²+(y+3)²=64 x²-4x+4+y²+6y+9=64 x²+y²-4x+6y-51=0 Parabola

Curves obtained by slicing a cone by a plane that doesn't pass through vertex are called  conic section or conics.  A Conic is the locus of point such that the ratio of  its distance  from fixed point to its distance from a fixed line is a constant.  The fixed point is called the focus and fixed line is called directrix and fixed  ratio is called  eccentricity (e) If e=1    PARABOLA    e<1    ELLIPSE    e>1       HYPERBOLA    e=0    CIRCLE