JEE Main 2022MathematicsApplication Of DerivativesTangent And NormalmediumNumerical

JEE Main 2022Application Of Derivatives Question with Solution

From: JEE Main 2022 (Online) 28th June Morning Shift

Question

Let l be a line which is normal to the curve y = 2x2 + x + 2 at a point P on the curve. If the point Q(6, 4) lies on the line l and O is origin, then the area of the triangle OPQ is equal to ___________.

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Show full solutionCorrect answer: 13
Correct answer
13

Step-by-step explanation

JEE Main 2022 (Online) 28th June Morning Shift Mathematics - Application of Derivatives Question 89 English Explanation

So

Area = \left| {{1 \over 2}\left| {\matrix{ 0 & 0 & 1 \cr 6 & 4 & 1 \cr 1 & 5 & 1 \cr } } \right|} \right| = 13.

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About this question

This is a previous-year question from JEE Main 2022, 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.