IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

madmax

a>0,parabola y^2=4aX
Point A(at^2,2at),where t is not equal to 0,point F(a,0),normal at A is AN
A Circle with AF as diameter is drawn (Lets call it S)....The centre is Q.
Circle meets AN at B and X-axis at D ,the normal An meets X axis at point C

1) If A1 is area of Circle wid diameter AF and A2 is area of circle with AC as diameter
find A1:A2
2)Find locus of point B
3)IF Slope Of AB lies between + and - lambda then lambda is_______

4th one is simple
4)OF,AB AF are in AP,GP,HP,None

Refer To Diagram

Decoder

1..
u need to know the rel. bw.lengths of AF.and AC.
u know the slope of normal.tan(.

-X)
where X is angle ACO..

so u now need slope of focal chord..( tan Y)

u have lenghts in those triangles given (at^2..etc.)

use trigo to find AC-AF relation..

all r in t parameter so u get the ratio..

Ask & Discuss Questions with Community & Experts