Q. 4 I4.2( 5 Votes )

# Find the ve

Given equation of the parabola is x2 + y = 6x - 14

x2 - 6x = - y - 14

x2 - 6y + 9 = - y - 5

(x - 3)2 = - (y + 5)

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

4b = 1

The vertex is (a, c) = (3, - 5)

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

The equation of the axis is x - a = 0 i.e, x - 3 = 0

The equation of the directrix is y - c = b

Directrix is

The directrix is

Directrix is

Length of latus rectum is 4b = 1.

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