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One end of a string of length R is tied to a stone of mass m and the other end to a small pivot on a frictionless vertical board. The stone is whirled in a vertical circle with the pivot as the center. The minimum speed the stone must have, when it is at the topmost point on the circle, so that the string does not slack is given by;

Chemistry

Among the following which statement is correct?
(a) All disaccharides are reducing sugar
(b) Fructose, though it has a keto functional group is reducing sugar
(c) Glucose and fructose are epimers
(d) No. of possible optical isomers of glucose is 8.

Mathematics

Let C and z₁,z₂,z₃ C such that: = (z₃-z₁)/(z₂-z₁)

If and Z₂, Z₃ are fixed, then locus of Z₁ is

(a) a straight line (b) an ellipse (c) a circle (d) a pair of straight lines.

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