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KCET2010MathematicsEllipse

The eccentric angle of the point (2, 3 ) lying on x² 16 + y² 4 =1 is

Options

  1. A4
  2. B2
  3. C3
  4. D6

Correct answer

C. 3

Step-by-step solution

Given equation of an ellipse is x² 16 + y² 4 =1 and point P(2, 3 ) Let be the eccentric angle. The parametric coordinate of an ellipse is . array l x=4 y=2 array ...(i) Given that, eccentric angle at P is, aligned 2 &=4 = 1 2 2 &=2 = 3 2 aligned Hence, = 3

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