AIEEE Exam

A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is

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AIEEE Other Question

If a vertex of a triangle is (1, 1) and the mid-points of two sides through this vertex
are (-1, 2) and (3, 2), then the centroid of the triangle is If the circles x^2 + y^2 + 2ax + cy + a = 0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q then the line 5x + by - a = 0 passes through P and Q.find the solution of a