The equation of any tangents of slope m to the parabola y2 = 4x is 𝑦 = 𝑚𝑥 +
1
m
... (i) If it passes through P(1,4), then 4 = m+
1
m
⇒ m2 - 4m + 1 = 0 Let m1,m2 be the roots of this equation, Then, ma + m2 = 4 and m1m2= 1 Let e be the angle between the tangents drawn from P. Then, tan𝜃 =