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is there any method to find angle between tangents to an ellipse and hyperbola .? i already know a method which involves finding eqn of pair of tangents

is there any method to find angle between tangents to an ellipse and hyperbola .?
i already know a method which involves finding eqn of pair of tangents

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Steps:
  • First, you write the equation of tangent in slope form for both the ellipse & hyperbola.
  • Then you just equate the constant since both equation represent same tangent.
  • Then, tou would get an polynomial equation in slope.
  • You find the individual slopes & calcute the angle b/w them by using the formula
tan\alpha = |\frac{m_{1}-m_{2}}{1+m_{1}m_{2}}|
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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