Q. 4 C3.5( 8 Votes )

# Find the ve

Given equation of the parabola is y2 - 4y - 3x + 1 = 0

y2 - 4y = 3x - 1

y2 - 4y + 4 = 3x + 3

(y - 2)2 = 3(x + 1)

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

4b = 3

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

The focus is (b + c, a) =

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

Directrix is

Directrix is

Length of latus rectum is 4b = 3.

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