Q. 4 H5.0( 5 Votes )

# Find the ve

Answer :

Given equation of the parabola is y2 = 5x - 4y - 9 y2 + 4y = 5x - 9

y2 + 4y + 4 = 5x - 5

(y + 2)2 = 5(x - 1)

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

4b = 5 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 = 5.

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