Grade 12th passAnalytical Geometry
Prove that the tangents at the end of latus rectum of parabola intersect on directrix at right angle
1 Answer
prince kumar
equation of tangent Y=mx+a/m
then,
let point (H,K) where both tangent intesect each other
now, (X,Y) replace through(H,K)
THEN , equation of tangent is K=hm+a/m
ater solve it then
equation is hm2 -km +a=0
m1 * m2= -1 then
a/h=-1
a=-h
a+h=0
(H) replace with x
x+a=0
IT IS EQATION OF DIRECTRICS.
HENCE, IT IS PROVED.
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