JEE Main 2023MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneoushardNumerical

JEE Main 2023 — Differential Equations Question with Solution

From: JEE Main 2023 (Online) 10th April Evening Shift

Question

Let the tangent at any point P on a curve passing through the points (1, 1) and , intersect positive -axis and -axis at the points A and B respectively. If and is the solution of the differential equation , then is equal to ____________.

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Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

Let the equation of tangent to the curve at .

Whose slope is is

JEE Main 2023 (Online) 10th April Evening Shift Mathematics - Differential Equations Question 64 English Explanation



and putting



divides in







Putting

so or

Now



On integrating



Put putting

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About this question

This is a previous-year question from JEE Main 2023, covering the Differential Equations 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.