Q. 4 I4.2( 5 Votes )

Find the ve

Answer :

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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