Two tangents are drawn from point ( 1 , 4 ) to the parabola y 2 = 4 x . Angle between these tangents is K π then K =

Question

Two tangents are drawn from point ( 1 , 4 ) to the parabola y 2 = 4 x . Angle between these tangents is K π ​ then K =

TestHub · Accepted Answer

y = m x + m 1 ​ is tangent to the parabola y 2 = 4 x ​ ⇒ y 2 = m + m 1 ​ ⇒ m 2 − 4 m + 1 = 0 ​ m 1 ​ + m 2 ​ = 4 , m 1 ​ m 2 ​ = 1 ​ tan θ = ​ 1 + m 1 ​ m 2 ​ m 1 ​ − m 2 ​ ​ ​ = 3 ​ ​ θ = 3 π ​ ​

Mathematics - Parabola Question with Solution | TestHub

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