CBSE Class 12 Sample Paper for 2020 Boards

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

increases at the same rate as abscissa increases?

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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. ππ₯/ππ‘ "=" ππ¦/ππ‘ and we need to find (x, y) Now, x2 = 2y Differentiating w.r.t. t 2x ππ₯/ππ‘ = 2ππ¦/ππ‘ 2x ππ₯/ππ‘ = 2ππ₯/ππ‘ 2x = 2 x = 1 Finding y Putting x = 1 in the equation x2 = 2y 12 = 2y (As ππ₯/ππ‘ "=" ππ¦/ππ‘) 1 = 2y 1/2 = y y = 1/2 So, required point is (1, π/π)

Davneet Singh

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.