Hyperbola-normal || Chord OF contact || Diameter in hyperbola || Pair OF tangent

Tangent To Hyperbola

Normal to ellipse and hyperbola

Tangents of ellipse and hyperbola

Tangent of hyperbola with slope m

Pair OF Tangent|| Chord OF Contact|| Length OF Subtangent and Sub Normal|| Point OF Intercept OF Tangent|| Important Point OF Normal

Question on normal || Subtangent & subnormal|| Pare OF tangent || Chord OF contact || Chord with a given middle point || Diameter || Highlights

Tangent: Pair OF tangent || Length OF tangent || Angle between tangent || Chord OF contact || Director circle || Examples

A variable chord of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1,(b>a), subtends a right angle at the center of the hyperbola if this chord touches.a fixed circle concentric with the hyperbola a fixed ellipse concentric with the hyperbola a fixed hyperbola concentric with the hyperbola a fixed parabola having vertex at (0,0).

If the pair of tangents are drawn from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 , then (i) Find the length of chord of contact. (ii) Find the area of the triangle fromed by a pair of tangents and their chord of contact. (iii) Find the angle between the pair of tangents.