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P(asec alpha, b tan alpha) and Q(a sec b...

P(`asec alpha, b tan alpha`) and Q`(a sec beta, b tan beta)` are two given points on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1.` Show that the equation of the chord PQ is
`(x)/(a) cos (alpha - beta)/(2) - (y)/(b) sin (alpha + beta)/(2) = cos (alpha+beta)/(2).`

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