In India, the Panchayati Raj generally refers to the local selfgovernment of villages in rural India as opposed to urban and suburban municipalities, this system was introduced by a constitutional amendment in 1992. Although it is based upon the historical panchayat system of the Indian subcontinent. The recommendation of LM Singhvi Committee (1986) was accepted. This Panchayati Raj system was formalized in 1992, following a study conducted by a number of Indian committees on various ways of implementing more decentralized administration. The modern Panchayati Raj and its Gram Panchayats are not to be confused with the extra-constitutional Khap Panchayats (or Caste Panchayats) found in northern India. A Village panchayat has 10 fields of equal area in the shape of equilateral triangles in different areas. A group of Panchayat want to grow wheat crop in 3 fields and rice in 7 fields and expected total yields as 100 quintals of crophowever other group of Panchayat want to grow wheat in five fields & rice in 5 fields and expected a total production as 120 quintals.To protect the crop, Panchayat want to fence all the fields with a wire. For this purpose, the distance between a corner and mid-point of its opposite side is measured with a string and found to be 8√3 m.The village panchayat used this production of crops for the poor of the village and to help the victims in different natural calamities in surrounding areas. 2 confused with the extra-constitutional Khap Panchayats (or Caste Panchayats) found in northern India. A Village panchayat has 10 fields of equal area in the shape of equilateral triangles in different areas. A group of Panchayat want to grow wheat crop in 3 fields and rice in 7 fields and expected total yields as 100 quintals of crophowever other group of Panchayat want to grow wheat in five fields & rice in 5 fields and expected a total production as 120 quintals.To protect the crop, Panchayat want to fence all the fields with a wire. For this purpose, the distance between a corner and mid-point of its opposite side is measured with a string and found to be 8√3 m.The village panchayat used this production of crops for the poor of the village and to help the victims in different natural calamities in surrounding areas. On the basis of above information, solve the following questions. Q. 3. Find the quantity of wheat grown in two fields and rice in one field together using the concept of Linear Equations in two variables. (4 Marks) Q 4. Find the length of wire that is required to cover all the 10 fields using concept of Quadratic Equationand hence find the area of one field. (4 Marks) Q 5. (I) When the recommendations of LM Singhvi committee was adapted by Govt. of India? (1 Mark) (ii) For which type of areas, Panchayati Raj system was made? (1 Mark) (iii) Where Khap Panchayat are found in India? (1 Mark) (IV) Write two characteristics of Panchayats. (2x1/2 = 1 Mark)
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