1.

Find the equation of the parabola if its focus is (4,0) and directrix is x = -4. Also find the equation of the tangent at the vertex.

Answer»

Given Directrix As x = -4 & Focus = (4,0) ⇒ a = 4 

The standard equation is y2 = 4ax 

⇒ y2 = 4 × 4 x X = 16x 

∴ Equation of the parabola = 16x



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