JEE Advanced Mathematics question
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 of the triangle with vertices at , and the origin is
Answer: (D)
Solution
, so ; auxiliary circle . Take , (any choice of signs gives the same area by symmetry). Line : , i.e. .
Substituting: 3y)^2y^2$ = 9 \
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