JEE Main 2021 — Application Of Derivatives Question with Solution
From: JEE Main 2021 (Online) 24th February Evening Shift
Question
If the curve y = ax2 + bx + c, xR, passes through the point (1, 2) and the tangent line to this curve at origin is y = x, then the possible values of a, b, c are :
Choose an option
Show full solutionCorrect option: B
Correct answer
Ba = 1, b = 1, c = 0
Step-by-step explanation
Given curve y = ax2 + bx + c, xR
This curve passes through the point (1, 2)
..... (i)
Given, slope of tangent at origin is 1
(0, 0) lie on curve
c = 0, a = 1
This curve passes through the point (1, 2)
..... (i)
Given, slope of tangent at origin is 1
(0, 0) lie on curve
c = 0, a = 1
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This is a previous-year question from JEE Main 2021, 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.