(b) a/b
tan2 x + a tan x + b = 0
α and β are the roots of the equation
⇒ tan2 α + a tan α + b = 0 ….. (1)
tan2 β + a tan β + b = 0 …… (2)
(1) – (2) => tan2 α – tan2 β + a (tan α – tan β) = 0
(tan α – tan β) (tan α + tan β) + a (tan α – tan β) = 0
⇒ tan α + tan β = – a …. (A)
(1) × tan β – (2) × tan α