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Find the equation of tangent to the parabola y^2 = 16x inclined at an angle 60° with its axis and also find the point of contact.

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Find the equation of tangent to the parabola y2 = 16x inclined at an angle 60° with its axis and also find the point of contact.  

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Given parabola y2 = 16x 

 Inclination of the tangent is 

θ = 60° ⇒ m = tan 60° = √3

Therefore equation of the tangent is a y= mx+a/m

Point of contact =

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