The extreme points of the latus rectum of a parabola are 7 5 and 7 4 Find the equation of the parabo...........

Mathematics (NDA) Coordinate Geometry

The extreme points of the latus rectum of a parabola are (7, 5) and (7, 4). Find the equation of the parabola?

2y -(4x/9) -52 =0

2y +(4x/9 )-52 =0

2y -(4x/9) +52 =0

2y +(4x/9) +52 =0

Focus of the parabola is the mid-point of the latus rectum

Focus =(7+7)/2 ,(5+4)/2)

=7,9/2

Equation is y-9/2 =(7-7/5-4 ) (x-7)

Y=9/2

Length of the latus rectum is =5-4=1

Vertex of the parabola is distance of = 1/9/2

=2/9

Vertex=7- 2/9 ,9/2

=(61/9 ,9/2)

Equation of parabola vertex (61/9 ,9/2)

y-9/2 =2/9 (x- 61/9)

2y-9 =4/81(9x -61)

2y -(4x/9) +52 =0

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