Show that the angle that a tangent line of a hyperbola forms with the intersection with a vertical line, and a focus is a right angle.
62228
The portion of the tangent to any conic intercepted between the point of contact and the directrix subtends a right angle at the focus of the conic?
112314
On The Range Of The Tangent
42852
The legs of a right triangle with given hypotenuse and radius of inscribed circle
38004
Constructing the reciprocal of a segment
23355
A curve where all tangent lines are concurrent must be straight line
140519
How to determine the point of intersection of two lines?
71861
Circles and tangents and circumcircles
65491
if the curvature is constant and positive, then it is on the circunference
144641
Tangents are drawn from the point $(\alpha,\beta)$ to the hyperbola $3x^2-2y^2=6$ and are inclined at angles $\theta$ and $\phi$ to the $x-$axis.
147149
Intersection of two arcs on sphere
37448
Two Circles and Tangents from Their Centers Problem
19975
Why are there only two tangents to a hyperbola from a point, instead of four?
49720
Why is the tangent of an angle called that?
149047
Ellipses given focus and two points
116815
Angle between two circles
144901
Tangent to a circle through a point
49845
For an ellipse with minor radius $b$, show that the product of distances from the foci to any tangent line is $b^2$