JEE Main 2016 — Application Of Derivatives Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
Let C be a curve given by y(x) = 1 + If P is a point
on C, such that the tangent at P has slope , then a point through which the normal at P passes, is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C(1, 7)
Step-by-step explanation
Given,
y = 1 +
=
4x 3 = 9
x = 3
y = 1 + = 4
Equation of normal at point P(3,4)
y 4 = (x 3)
2y 8 = 3x + 9
3x + 2y 17 = 0
y = 1 +
=
4x 3 = 9
x = 3
y = 1 + = 4
Equation of normal at point P(3,4)
y 4 = (x 3)
2y 8 = 3x + 9
3x + 2y 17 = 0
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This is a previous-year question from JEE Main 2016, 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.