JEE Advanced 2008 Mathematics question
Consider a branch of the hyperbola
- - 2x - 4y - 6 = 0
with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is
Answer: (B)
Solution
Completing squares: , i.e. : a = 2, , . On the same branch, the vertex A is at distance a and the focus C at distance ae from
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