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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

Jitender Singh IIT Delhi
7 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