Ex 9.2, 15 - The length L of a copper rod is linear function - Ex 9.2

part 2 - Ex 9.2, 15 - Ex 9.2 - Serial order wise - Chapter 9 Class 11 Straight Lines

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Ex 9.2, 15 The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C. Assuming C is along x-axis & L is along y-axis (x, y) = (C, L) So, we are given two points (20, 124.942) and (110, 125.134) So, from two point form y โˆ’ y1 =(๐‘ฆ_2 โˆ’ ๐‘ฆ_1)/(๐‘ฅ_2 โˆ’ ๐‘ฅ_1 ) (x โˆ’ x1) L โˆ’ 124.942 = (125.134 โˆ’ 124.942)/(110 โˆ’ 20) (C โˆ’ 20) L โˆ’ 124.942 = (125.134 โˆ’ 124.942)/(110 โˆ’ 20) (C โˆ’ 20) L โˆ’ 124.942 = 0.192/90 (C โˆ’ 20) L = (๐ŸŽ.๐Ÿ๐Ÿ—๐Ÿ)/๐Ÿ—๐ŸŽ (C โˆ’ 20) + 124.942

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