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If the distance from the point P on the hyperbola x ^ 2 / 64-y ^ 2 / 36 = 1 to the right focus of the hyperbola is 8, then the distance from P to the right collimator is 8___ , P to the left collimator If the distance from the point P on the hyperbola x ^ 2 / 64-y ^ 2 / 36 = 1 to the right focus of the hyperbola is 8, then the distance from P to the right collimator is 8___ What is the distance from P to the left collimator___ .
c=10,e=5/4
The left focus is F1 and the right focus is F2
PF2=8
According to the first definition: | pf1-pf2 | = 2A = 16
Pf1 = 24
The distance from P to the left guide line is D1, and the distance to the right guide line is D2
According to the second definition, Pf1 / D1 = PF2 / D2 = 5 / 4
The results are: D1 = 96 / 5, D2 = 32 / 5
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