A tangent to the ellipse `4x^2 +9y^2 =36` is cut by the tangent at the extremities of the major axis at T and `T^1`, the circle on `T T^1` as diameter passes through the point

A tangent to the ellipse 4x^(2)+9y^(2)=36 is cut by the tangent at the extremities of the major axis at T and T^(1), the circle on TT^(1) as diameter passes through the point

If a tangent to the ellipse x^2 + 4y^2 = 4 meets the tangents at the extremities of its major axis at B and C, then the circle with BC as diameter passes through the point :

Prove that if any tangent to the ellipse is cut by the tangents at the endpoints of the major axis at TandT ' ,then the circle whose diameter is T will pass through the foci of the ellipse.

The tangent at any point on the ellipse 16x^(2)+25y^(2) = 400 meets the tangents at the ends of the major axis at T_(1) and T_(2) . The circle on T_(1)T_(2) as diameter passes through

The tangent at any point on the ellipse 16x^(2) + 25^(2) = 400 meets the tangents at the ends of the major axis at T_(1) and T_(2) . The circle on T_(1)T_(2) as diameter passes through

Any tangent to an ellips (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, (a gt b) cut by the tangents at the end points of major axis is T and T' . Prove that the length of intercept of the major axis cut by the circle describe on T T' as diameter is constant and equal to 2sqrt(a^(2)-b^(2)) .