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A sonometer strings AB of length 1m is stretched by a load and the tension T is adjusted so that the string resonates to a frequency of 1 kHz . Any point P of the wire may be held fixed by use of a movable bridge that can slide along the base of sonometer.

Rajeev, the owner of Pathways Constructions decided to start a campaign to create awareness among people for developing clean surroundings in their area. He formed a team of 10 members to list the different ways for cleaning the sorroundings. One suggested to tak the help of local residents, another suggested that they may involve school-going children in their venture. One more suggest was to take the help of unemployed youth. On evaluation of different ways, it was decided to take the help of local residents. To achieve the desired goal various activities were identified like: (a) Purchase of necessary items like dustbins, garbage bags, brooms, etc.: (b) Collection of garbage: (c) Disposal of garbage, etc. After identification of different activities the work was allocated to different members. (i) Identify the concepts of management involved in the above situation and quote the lines which help in their identification. (ii) Also identify the values which the company wants to communicate to the society.

If the engineer is willing to reverse the final position of his loco- motive on AB he can solve the problem in How many moves.

Let alpha and beta be two distinct complex numbers, such that abs(alpha)=abs(beta) . If real part of alpha is positive and imaginary part of beta is negative, then the complex number (alpha+beta)//(alpha-beta) may be