Question

A parabola with vertex (2,3) and axis parallel to the y axis passes through (4,5) then it's length of latusrectum is​

Answer 1

Question:

A parabola with vertex (2,3) and axis parallel to the y axis passes through (4,5) then it's length of latusrectum is​

Answer:

  x power 2 = + (or) - 4ay

  (x-2) power 2 = + (or) - 4a (y-3)

  (4,5)

  4 = + (or) -  4a(2)    

  4 = + (or) - 8a

  a = + (or) -  1/2

   .

 .   .  Length of latus rectum

         = 4a

         = 4 x 1/2

         = 2

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