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Question

 If the normal at θ on the hyperbola x2a2y2b2=1 meets the transverse axis at G, then AG.A’G =
 


A
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B

 
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C


 
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D
None
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Solution

The correct option is A
 Equation of the normal at θ is axsexθ+bytanθ=a2e2
This normal meets the major axis i.e y=0 at G =(ae2secθ,0)A=(a,0),A=(a,0)
AG.A’G =|a(e2secθ1)||a(e2secθ+1)|=a2(e4sec2θ1)
 

Mathematics

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