Q4 of 65 Page 25

Find the vertex, focus, axis, directrix and lotus - rectum of the following parabolas

4x2 = y

Given parabola is 4x2 = y.



Converting to standard form we get,


⇒


Comparing with standard parabola x2 = 4ay we get,


⇒


⇒


⇒ The vertex is (0, 0)


⇒ The focus is (0, a) =


⇒ The equation of the axis is x = 0


⇒ The equation of the directrix is y = - a i.e, .


⇒ The length of the latus rectum is 4a = .


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