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Tangents are drawn from the point (α,β) to the hyperbola 3x 2 -2y 2 =6 and are inclined at angles θ and φ to the x-axis. If tanθ.tanφ =2, prove that β 2 =2 α 2 -7

Tangents are drawn from the point (α,β) to the hyperbola 3x2-2y2=6 and are inclined at angles θ and  φ to the x-axis. If tanθ.tanφ =2, prove that β2=2 α2-7

Grade:upto college level

5 Answers

Sunil Raikwar
askIITians Faculty 45 Points
7 years ago
please check the attached file
Pranjal K
23 Points
7 years ago
Sir, I did not find any attachment....!!
sunil raikwar
10 Points
7 years ago
solution- Given equation is Equations of tangents are the roots of this equation is therefore Thanks & Regards, Sunil Raikwar, askIITians faculty.
sunil raikwar
10 Points
7 years ago
Hi Pranjal, There is slight technical issue. Please post these questions again in analytical Geometry. We will upload the answers for the same. askIITians Faculty
sunil raikwar
10 Points
7 years ago

Given equation is

Equations of tangents are


the roots of this equation is

therefore

 

 

Thanks &Regards,

Sunil Raikwar,

askIITians faculty.

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