UP TGT Mathematics Co-ordinate Geometry Test Series - Part 3

The point of intersection of tangents at eccentric angles θ₁ and θ₂ on the ellipse x²/a² + y²/b² = 1 is:

Type: MCQ • Marks: 1
The point of intersection of tangents at eccentric angles θ₁ and θ₂ on the ellipse x²/a² + y²/b² = 1 is:
Options
A. (a cos θ₁, b sin θ₂)
B. (a tan θ₁, b tan θ₂)
C. (a cos((θ₁+θ₂)/2) / cos((θ₁-θ₂)/2), b sin((θ₁+θ₂)/2) / cos((θ₁-θ₂)/2))
D. (0, 0)
Explanation
Standard intersection formula for ellipse parametric tangents.
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