2 points P(a.0) amd Q(-a,0) are given and R is variable point on 1 side of the line PQ such that <RPQ - <RQP is a positive constant 2θ.Show that the locus of R is ---
x2-y2±2xy cot 2θ - a2 =0
-
UP 0 DOWN 0 0 2
2 Answers
Manish Shankar
·2009-06-24 09:23:04
take R as (h,k)
given
tan-1(k/(h-a))-tan-1(k/(h+a))=2θ
take tan both sides and solve