If x = t 2 , y = t 3 , then (d 2 y)/(dx 2 ) is

(A) 3/2 

(B) 3/4t

(C) 3/2t 

(D) 3/4

This question is similar to Question 16 (Or 2nd) - CBSE Class 12 - Sample Paper for 2019 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Transcript

Question 22 If x = t2, y = t3, then (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) is (A) 3/2 (B) 3/4๐‘ก (C) 3/2๐‘ก (D) 3/4 ๐‘ฅ=๐‘ก^2 & ๐‘ฆ=๐‘ก^3 Finding ๐’…๐’š/๐’…๐’™ ๐’…๐’š/๐’…๐’™=(๐’…๐’š/๐’…๐’•)/(๐’…๐’™/๐’…๐’•) Finding ๐’…๐’š/๐’…๐’• ๐‘ฆ=๐‘ก^3 ๐‘‘๐‘ฆ/๐‘‘๐‘ก=(๐‘‘(๐‘ก^3))/๐‘‘๐‘ก ๐’…๐’š/๐’…๐’•=๐Ÿ‘๐’•^๐Ÿ Finding ๐’…๐’™/๐’…๐’• ๐‘ฅ =๐‘ก^2 ๐‘‘๐‘ฅ/๐‘‘๐‘ก=(๐‘‘(๐‘ก^2))/๐‘‘๐‘ก ๐’…๐’™/๐’…๐’•=๐Ÿ๐’• Now, ๐’…๐’š/๐’…๐’™=(๐’…๐’š/๐’…๐’•)/(๐’…๐’™/๐’…๐’•) =(3๐‘ก^2)/2๐‘ก =๐Ÿ‘๐’•/๐Ÿ Finding (๐’…^๐Ÿ ๐’š)/(๐’…๐’™^๐Ÿ ) (๐’…^๐Ÿ ๐’š)/(๐’…๐’™^๐Ÿ )=๐‘‘(3๐‘ก/2)/๐‘‘๐‘ฅ =๐‘‘(3๐‘ก/2)/๐‘‘๐‘กร—๐’…๐’•/๐’…๐’™ =3/2ร—๐‘‘๐‘ก/๐‘‘๐‘ฅ =3/2ร—๐Ÿ/(๐’…๐’™/๐’…๐’•) Putting ๐‘‘๐‘ฅ/๐‘‘๐‘ก=2๐‘ก =3/2ร—๐Ÿ/๐Ÿ๐’• =๐Ÿ‘/๐Ÿ’๐’• So, the correct answer is (B)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.