if SK be the perpendicular from the focus S on the tangent at any point P on the ellipse
x2a2 + y2b2 =1,
then the locus of K is......................
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1 Answers
11consider any point n ellipse acosθ,bsinθ
normal slope=atanθ/b
assume locus point as h,k
tanθ=bk/a(a-h)
also h,k lies on tangent xcosθ/a+ysinθ/b=1
eliminate θ.