Misc 23 - Normal to x2 = 4y passing (1,2) is (a) x + y = 3

Misc. 23 - Chapter 6 Class 12 Application of Derivatives - Part 2
Misc. 23 - Chapter 6 Class 12 Application of Derivatives - Part 3

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

Transcript

Misc 23 The normal to the curve ๐‘ฅ^2=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 = 1Since (1, 2) lies on normal, it will satisfy its equation Option 1: ๐’™+๐’š=๐Ÿ‘ Putting ๐‘ฅ=1 & ๐‘ฆ=2 in equation 1 +2=3 3=3 This is true So, it is the equation of Normal Option 2: ๐’™โˆ’๐’š=๐Ÿ‘ Putting ๐‘ฅ=1 & ๐‘ฆ=2 in equation 1 โˆ’2=3 โˆ’1=3 This is false So, it is not equation of Normal Option 3: ๐’™+๐’š=๐Ÿ Putting ๐‘ฅ=1 & ๐‘ฆ=2 in equation 1 +2=1 3=1 This is false So, it is not equation of Normal Option 4: ๐’™โˆ’๐’š=๐Ÿ Putting ๐‘ฅ=1 & ๐‘ฆ=2 in equation 1 โˆ’1=1 0=1 This is false So, it is not equation of Normal Hence, Correct Answer is (A)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.