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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

a)

b)

c)

d)



Question ID - 56026 | SaraNextGen Top Answer

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

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

Equation of auxiliary circle is

Equation of  is  

On solving Eqs. (i) and (ii) , we get

Now, area of

127 votes


127