Parabola Flashcards
eccentricity of a parabola
e=1
condition for parabola!?
PS/PM = constant = e = 1
therefore PS=PM
coordinate of focus for a standard parabola y^2=4ax
equation of directrix for a standard parabola
length of latus rectum
coordinate of focus:- (a,0)
equation of directrix:- x=-a
length of latus rectum:- 4a
parametric coordinates for a standard parabola
( at^2 , 2at)
relation of the parametric (t) for two points at the end of a focal chord
lentgh of focal chord with given parametric(t) or with given angle of the focal chord with the x axis
realtion between the sem latus rectum , and the l1,l2
condition of tangency for a parabola tangentq
c=a/m
length of the chord in a parabola with given m,a, c of the chord and parabola
conversions done to the main equation to make it into a tangent equation
equation of tangent with parametric given
equation of tangent with a given slope of tangent
relation between slope and parameter of a tangent
point of contact of tangents on the parabola with given parameter or slope
point of intersection of tangents at point t1 and t2
the portion between the directrix and the point the tangent touches the parabola subtends which angle at focus
90degree
tangent at extremities of focal chord subtends what at the directirx and waht does the intersection point at directirx,point of contants form
90 degree at the directrix
the points form a circle
foot of perpendicular at any tangent from the focus lies on what?
the tangent at the vertex
equation of normal in terms t
relation between the m and t of normal
m=-t
formula of normal with m given
maximum how many normals can be drawn from a point to a praobla
3
relation between the slopes of the 3 normals from a point to the parabola
relation between the co normal point’s ‘t’ or ‘m’
m1 + m2 + m3=0
