Consider an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b) and a circle x^(2)+y^(2)=a^(2). A tangent is drawn at any point on the circleand a point is chosen on this tangent from which pair of tangents are drawn to the ellipse. If the chord of contant passes through a fixed point (x_(1),y_(1)) then prove that x_(1)^(2)+(a^(4)/(b^(4))y_(1)^(4)=a^(2)

Consider an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b) and a ci

1.	Consider an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b) and a circle x^(2)+y^(2)=a^(2). A tangent is drawn at any point on the circleand a point is chosen on this tangent from which pair of tangents are drawn to the ellipse. If the chord of contant passes through a fixed point (x_(1),y_(1)) then prove that x_(1)^(2)+(a^(4)/(b^(4))y_(1)^(4)=a^(2)
Answer» ANSWER :`H^(2)+K^(2)=a^(2)`

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