Defining refined circles #2

Geometry Level 2

The locus of the point of intersection of the tangents at the extremites of a chord of the circle x 2 + y 2 = a 2 x^2+y^2=a^2 which touches the circle x 2 + y 2 = 2 a x x^2+y^2=2ax is

x 2 + y 2 = ( y − a ) 2 x^2+y^2=(y-a)^2 y 2 = a 2 − 2 a x y^2=a^2-2ax None of these x 2 = a 2 − 2 a y x^2=a^2-2ay

Parag Zode by Parag Zode , 24, India

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