Ellipse 2 Question 12
12. The line passing through the extremity of the major axis and extremity of the minor axis of the ellipse meets its auxiliary circle at the point . Then, the area (insqunits) of the triangle with vertices at and the origin is
(2009)
(a)
(b)
(c)
(d)
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Solution:
- Equation of auxiliary circle is
On solving Eqs. (i) and (ii), we get
Now, area of