Maths-
General
Easy
Question
Angle between tangents drawn from (1, 4) to parabola y2 = 4x is
/2
- /3
- /6
- /4
/2
/3
/6
/4
The correct answer is: /3
To find angle between tangents.
The equation of the tangent is y = mx + 1/m.
It passes through the point (1, 4).
m1 + m2 = 4, m1m2 = 1
|m1 – m2| = 2
tan θ = 2 / 2 =
θ = /3
Therefore, the angle between tangents is /3
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