2√3y = 12x + 1
√3y = x + 3
2√3y = -x - 2
√3y = 3x + 1
Let equation of tangent to the parabola y² = 4x is y = mx + 1/m, ⇒ m²x - ym + 1 = 0.
is tangent to x² + y² - 6x = 0, ⇒ |3m² + 1|/√m⁴ + m² = 3. m = ±1/√3 ⇒ tangent are x + √3y + 3 = 0 and x - √3y + 3 = 0.