Parabola

Question 1

eccentricity of a parabola

Answer 1

e=1

Question 2

condition for parabola!?

Answer 2

PS/PM = constant = e = 1

therefore PS=PM

Question 3

coordinate of focus for a standard parabola y^2=4ax

equation of directrix for a standard parabola

length of latus rectum

Answer 3

coordinate of focus:- (a,0)

equation of directrix:- x=-a

length of latus rectum:- 4a

Question 4

parametric coordinates for a standard parabola

Answer 4

( at^2 , 2at)

Question 5

relation of the parametric (t) for two points at the end of a focal chord

Answer 5

Question 6

lentgh of focal chord with given parametric(t) or with given angle of the focal chord with the x axis

Answer 6

Question 7

realtion between the sem latus rectum , and the l1,l2

Answer 7

Question 8

condition of tangency for a parabola tangentq

Answer 8

c=a/m

Question 9

length of the chord in a parabola with given m,a, c of the chord and parabola

Answer 9

Question 10

conversions done to the main equation to make it into a tangent equation

Answer 10

Question 11

equation of tangent with parametric given

Answer 11

Question 12

equation of tangent with a given slope of tangent

Answer 12

Question 13

relation between slope and parameter of a tangent

Answer 13

Question 14

point of contact of tangents on the parabola with given parameter or slope

Answer 14

Question 15

point of intersection of tangents at point t1 and t2

Answer 15

Question 16

the portion between the directrix and the point the tangent touches the parabola subtends which angle at focus

Answer 16

90degree

Question 17

tangent at extremities of focal chord subtends what at the directirx and waht does the intersection point at directirx,point of contants form

Answer 17

90 degree at the directrix

the points form a circle

Question 18

foot of perpendicular at any tangent from the focus lies on what?

Answer 18

the tangent at the vertex

Question 19

equation of normal in terms t

Answer 19

Question 20

relation between the m and t of normal

Answer 20

m=-t

Question 21

formula of normal with m given

Answer 21

Question 22

maximum how many normals can be drawn from a point to a praobla

Answer 22

3

Question 23

relation between the slopes of the 3 normals from a point to the parabola

Answer 23

Question 24

relation between the co normal point’s ‘t’ or ‘m’

Answer 24

m1 + m2 + m3=0

Question 25

the relation between the t of the point of intersection of a normal at one point on the parabola

Answer 25

Question 26

relation between t of the two points which subtend 90 degrees at the vertex

Answer 26

Question 27

what is the director’s circle for a parabola

Answer 27

the directrix(x=-a) is the director circle as wells as

Question 28

chord of contact of the pair of tangents from a point on a parabola

Answer 28

Question 29

chord equation with given midpoint of the chord

Answer 29

Question 30

pair of tangent formula for a parabola

Answer 30

Question 31

diameter formula for a parabola

Answer 31