Question
The line x+2y=1 cuts the ellipse 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find poin C.
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Question 2
Let be the line passing through the points and . Let be the set of all pairs of circles such that is tangent to at and tangent to at , and also such that and touch each other at a point, say, . Let be the set representing the locus of as the pair varies in . Let the set of all straight lines segments joining a pair of distinct points of and passing through the point be . Let be the set of the mid-points of the line segments in the set . Then, which of the following statement(s) is (are) TRUE?The point lies in (b) The point does NOT lie in (c) The point lies in (d) The point does NOT lie in Question Text | The line x+2y=1 cuts the ellipse 1 at two distinct points A and B. Point C is on the ellipse such that area of triangle ABC is maximum, then find poin C. |