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The equation of hyperbola with center at origin and co ordinate axes as its axes, distance between the directrices being 4/√3 and passing through the point (2,1) is?pls explain in detailthanks in advance

Lakshmi Warrier , 6 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 6 Years ago

Dear student
 
2a/e = 4/sqrt(3)..........(i)
Now
 
Hyperbola is of form
 
x²/a² - y²/b² = 1
 
It passes through (2,1)
 
4/a² - 1/b² = 1
 
4b² -a² = a² b²........(ii)
 
Now solve (i) and (ii)
 
You will get values of a² and b²
 
Hence you can get equation of hyperbola

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