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Question 23 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

 

A particle moves along the curve x 2 = 2y . At what point, ordinate

increases at the same rate as abscissa increases?

Transcript

Question 23 A particle moves along the curve x2 = 2y . At what point, ordinate increases at the same rate as abscissa increases? Given curve x2 = 2y We need to point (x, y) where ordinate increases at the same rate as abscissa increases i.e. 𝑑𝑥/𝑑𝑡 "=" 𝑑𝑦/𝑑𝑡 and we need to find (x, y) Now, x2 = 2y Differentiating w.r.t. t 2x 𝑑𝑥/𝑑𝑡 = 2𝑑𝑦/𝑑𝑡 2x 𝑑𝑥/𝑑𝑡 = 2𝑑𝑥/𝑑𝑡 2x = 2 x = 1 Finding y Putting x = 1 in the equation x2 = 2y 12 = 2y (As 𝑑𝑥/𝑑𝑡 "=" 𝑑𝑦/𝑑𝑡) 1 = 2y 1/2 = y y = 1/2 So, required point is (1, 𝟏/𝟐)
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2020 Boards

    CBSE Class 12 Sample Paper for 2019 Boards →
CBSE Class 12 Sample Paper for 2019 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo