If the tangents drawn from a point on the hyperbola x^2-y^2 = a^2-b^2 to theellipse x^2/a^2+y^2/b^2 = 1 make angle α and β with the transverse axis of the hyperbola then

Correct Answer is : tan α tan β = 1

JEE Mains Model Paper 24

Question : 66 of 90

Marks: +1, -0

If the tangents drawn from a point on the hyperbola x2−y2 = a2−b2 to theellipse

= 1 make angle α and β with the transverse axis of the hyperbola then

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