Greenrune113 Greenrune113
  • 17-05-2018
  • Mathematics
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Q10 Q11.) How far apart are the houses at their closest​ point?

Q10 Q11 How far apart are the houses at their closest point class=

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Asdfjkadfjkakjf Asdfjkadfjkakjf
  • 19-05-2018
from given pic, closest pt is at x=0
625y^2=1000000
25y=+/-1000
y=+/-40
so houses are 40-(-40)=80yards apart
 

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nustopocru nustopocru
  • 19-05-2018

Rearranging the hyperbola equation 625y^2 - 1600x^2 = 1000000

(25y)^2 - (40x)^2 = 1000^2

(25y/1000)^2 - (40x/1000)^2 = 1

(y/40)^2 - (x/25)^2 = 1

By property of hyperbola, the semi-major axis length=40

so at the closest, the houses are 40*2 = 80 yards apart


Answer Link

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