BodhiAI

Nov. 13, 2019

**Equation of Pair of Tangents **

**Let be any point which lies outside the hyperbola **

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**then the equation of pair of tangents drawn from this external point P to the hyperbola is given by **

**where, **

** {which is always positive as (x _{1},y_{1}) lies outside the hyperbola}**

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**Chord of Contact **

**Let PA and PB be any two tangents to the hyperbola from some external in plane of the hyperbola.**

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**Then, the line segment AB is known as the chord of contact and its equation is given by T = 0**

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**Equation of Chord of Hyperbola if its Midpoint is Known**

**Let is the midpoint of the chord of the hyperbola **

**then, the equation of chord of the hyperbola through this point is given by the equation T = S1**

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