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CBSE Class 12 Math 2022 Term I Solved Paper

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Case Study
In a residential society comprising of 100 houses, there were 60 children between the ages of 101510-15 years. They were inspired by their teachers to start composting to ensure that biodegradable waste is recycled. For this purpose, instead of each child doing it for only his/her house, children convinced the Residents welfare association to do it as a society initiative. For this they identified a square area in the local park. Local authorities charged amount of 50\text{₹} 50 per square metre for space so that there is no misuse of the space and Resident welfare association takes it seriously. Association hired a labourer for digging out 250m3250 \text{m}^3 and he charged 400X\text{₹} 400 \text{X} (depth) )2)^2. Association will like to have minimum cost.
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Question : 46 of 50
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Let side of square plot is xmx m and its depth is hh metres, then cost CC for the pit is
 Explanation:   C=250×50h+400×h2\text{ Explanation: }\; C=\frac{250 \times 50}{h}+400 \times h^2
C=12500h+400h2\Rightarrow C=\frac{12500}{h}+400 h^2
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