1. Chapter 6 Class 12 Application of Derivatives
2. Serial order wise

Transcript

Misc. 23 The normal to the curve ๏ท๐ฅ๏ทฎ2๏ทฏ=4๐ฆ passing (1,2) is (๐ด) ๐ฅ + ๐ฆ = 3 (๐ต) ๐ฅ โ ๐ฆ = 3 (๐ถ) ๐ฅ + ๐ฆ = 1 (๐ท) ๐ฅ โ ๐ฆ = 1 Since (1, 2) lies on normal, it will satisfy its equation Option 1 Equation of Normal is ๐ฅ+๐ฆ=3 Putting ๐ฅ=1 & ๐ฆ=2 in equation ๐ฅ+๐ฆ=3 1+2=3 3=3 Thus, ๏ท1 , 2๏ทฏ Satisfy the Equation of Normal Hence ๐ฅ+๐ฆ=3 is Required Equation of Normal Option 2 If equation of Normal is ๐ฅโ๐ฆ=3 Putting ๐ฅ=1 & ๐ฆ=2 in equation ๐ฅโ๐ฆ=3 1โ2=3 โ1=3 But โ1โ 3 Hence ๐ฅโ๐ฆ=3 is not the equation of Normal Option 3 If Equation of Normal is ๐ฅ+๐ฆ=1 Putting ๐ฅ=1 & ๐ฆ=2 in equation โ ๐ฅ+๐ฆ=1 โ 1+2=1 โ 3=1 But, 3โ 1 Hence ๐ฅ+๐ฆ=1 is not Required Equation of Normal Option 4 If Equation of Normal is ๐ฅโ๐ฆ=1 Putting ๐ฅ=1 & ๐ฆ=2 in equation โ ๐ฅโ๐ฆ=1 โ 1โ2=1 โ โ1=1 Since โ1โ 1 Hence ๐ฅโ๐ฆ=1 is not Required Equation of Normal Hence Correct Answer is (A)