Math, asked by banitaranabhat248, 17 days ago

find the equation of parabola with focal width 16 axis parallel to x axis and passing through the points (3,7) and (3,-1)

Answers

Answered by jallandhradaksh
4

Answer:

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Step-by-step explanation:

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Answered by amitnrw
5

Given  :  parabola with focal width 16 axis parallel to x axis and passing through the points (3,7) and (3,-1)

To Find :  

Solution:

parabola parallel to x axis

( y - k)² = 4p(x - h)

4p = focal width = 16

=>  ( y - k)² = 16(x - h)

passing through the points (3,7) and (3,-1)

=>  (7 - k)² = 16(3 - h)

    (-1 - k)²  = 16(3 - h)

(7 - k)² =    (-1 - k)²

=>  49 + k² - 14k = k²  + 2k + 1

=> 16k = 48

=> k = 3

(7 - k)² = 16(3 - h)

=>  (7 -3)² = 16(3 - h)

=> 4² = 16(3 - h)

=> 3 - h = 1

=> h = 2

 ( y - 3)² = 16(x - 2)

equation of parabola  is  ( y - 3)² = 16(x - 2)

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