Pair OF Tangent||Diameter & Image OF Circle in a given Line

COC|| Pair OF Tangent || Diameter|| Illustration|| Asymptote|| Rectangular Hyperbola (special case)

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

Equation Of Pair Of Tangent And Director Circle

Pair Of Tangents|Director Circle|Chord Of Contact|Chord With A Given Middle Point|Properties Of Parabola|OMR

In the figure, seg AB is a diameter of a circle with centre C. Line PQ is a tangent , which touches the circle at point T. seg AP _|_ line PQ and seg BQ _|_ line PQ. Prove that, seg CP ~= seg CQ.

Equation OF normal || Parametric Form || Pair OF tangent || Diameter , illustration

If we draw a tangents to a circle at a given point on it, when the centre of the circle is known, then the angle between the tangent and radius of the circle is

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

A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersect at point P enclosing an angle of 60^(@) . The area enclosed by the tangents and the arc of the circle is,