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The locus of the point of intersection o...

The locus of the point of intersection of perpendicular tangents to the ellipse `(x - 1)^2/16 + (y-2)^2/9= 1` is

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Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 are at right angle Statement-2: The locus of the point of intersection of perpendicular tangents to an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is its director circle x^(2)+y^(2)=a^(2)+b^(2) .