Q. 4 D4.0( 4 Votes )

# Find the ve

Given equation of the parabola is y2 - 4y + 4x = 0

y2 - 4y = - 4x

y2 - 4y + 4 = - 4x + 4

(y - 2)2 = - 4(x - 1)

Comparing with the standard form of parabola (y - a)2 = - 4b(x - c) we get,

4b = 4

b = 1

The vertex is (c, a) = (1, 2)

The focus is (b + c, a) = (1-1, 2) = (0, 2)

The equation of the axis is y - a = 0 i.e, y - 2 = 0

The equation of the directrix is x - c = b

Directrix is x - 1 = 1

Directrix is x = 1 + 1

Directrix is x = 2

Length of latus rectum is 4b = 4.

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