JEE Main 2020 — Application Of Derivatives Question with Solution
From: JEE Main 2020 (Online) 2nd September Morning Slot
Question
If the tangent to the curve y = x + sin y at a point
(a, b) is parallel to the line joining and , then :
(a, b) is parallel to the line joining and , then :
Choose an option
Show full solutionCorrect option: B
Correct answer
B|b - a| = 1
Step-by-step explanation
Slope of tangent to the curve y = x + siny
at (a, b) is = = 1
Given curve y = x + sin y
(1 - cos y) = 1
=
Now according to question,
cos b = 0
sin b = 1
Point (a, b) lies on curve y = x + sin y
b = a + sin b
|b - a| = |sin b| = 1
at (a, b) is = = 1
Given curve y = x + sin y
(1 - cos y) = 1
=
Now according to question,
cos b = 0
sin b = 1
Point (a, b) lies on curve y = x + sin y
b = a + sin b
|b - a| = |sin b| = 1
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This is a previous-year question from JEE Main 2020, covering the Application Of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.