CAT Exam

A line meets the co-ordinate axes in A and B. A circle is circumscribed about the triangle OAB. If m and n are the distances of the tangent to the circle at the origin from the points A and B respectively, the diameter of the circle is

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CAT Other Question

After striking the floor, a ball rebounces 45th of its height from which it has fallen. If it is dropped from a height of 120m, the total distance it travels before coming to rest is On the level ground, the angle of elevation of the top of the tower is 30degrees, on moving 20 metres nearer; the angle of elevation is 60degrees. Then the height of the tower is