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

Transcript

Misc 22 The normal at the point (1,1) on the curve 2ð¦+ï·ð¥ï·®2ï·¯=3 is ï·ð´ï·¯ ð¥ + ð¦ = 0 (ðµ) ð¥ â ð¦ = 0 (ð¶) ð¥ + ð¦ +1 = 0 (ð·) ð¥ â ð¦ = 1 Since (1, 1) lies on normal, it will satisfy its equation Option 1 Equation of Normal is ð¥+ð¦=0 Putting ð¥=1 & ð¦=1 in equation 1 +1=0 2=0 2â 0 â ð¥+ð¦=0 is not equation of Normal Option 2 If Equation of Normal is ð¥âð¦ = 0 Putting ð¥=1 & ð¦=1 in equation â ð¥âð¦=0 â 1â1=0 â 0=0 Since Point ï·1 , 1ï·¯ Satisfying the Equation of Normal â Hence, required Equation of Normal is ð¥âð¦=0 Option 3 If Equation of Normal is ð¥+ð¦+1=0 Putting ð¥=1 & ð¦=1 in equation â ð¥+ð¦+1=0 â 1+1+1=0 â 3=0 But 3 â  0 â ð¥+ð¦+1=0 is not Required Equation of Normal Option 4 If Equation of Normal is ð¥âð¦=1 Putting ð¥=1 & ð¦=1 in equation â 1 â1=1 â 0=1 But 0 â  1 â ð¥âð¦=1 is not Required Equation of Normal Hence, Correct Answer is (B)