Grade 11Analytical Geometry
The locus of pole of chord of parabola which subtend right angle vertex
The locus of pole of chord of parabola which subtend right angle vertex
1 Answer
Arun
Approved Tutor Answer8 Years agoDear Prajwal
ler the pole be (x1,y1) then polar is yy1-2a(x+x1) on homogenising with parabola we get homogenous pair of straight lines ie 8a2-4ay1xy+2ax1y2=0 since it subtend right angle at vertex then coefficient of x2+ coefficient of y2 =0 therefore 8a2+2ax1 =0 therefore locus is x1+4a=0 , x+4a=0
Regards
Arun (askIITians forum expert)
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