AIEEE Exam

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

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AIEEE Other Question

If the plane 2ax - 3ay + 4az + 6 = 0 passes through the midpoint of the line joining the centres of the spheres x^2+y^2+z^2+6x-8y-2z=13 and x^2+y^2+z^2-10x+4y-2z=8, then a equals
a) 1
b) 2
c) -1
d) -2
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