The locus of pole of chord of parabola y^2=4ax which subttend right angle at vertex
The locus of pole of chord of parabola y^2=4ax which subttend right angle at vertex
Prajwal , 8 Years ago
Grade 11
Analytical Geometry> The locus of pole of chord of parabola y^...
1 Answers
Arun
Dear student
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
Approved Last Activity: 8 Years ago
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