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JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 27 June 2022, Shift 1, Maths Q4

Question 4 of 90 in this shift, Maths question 4 of 30, Section A.

Let

\frac{dy}{dx} = \frac{ax-by+a}{bx+cy+a}

, where a, b, c are constants, represent a circle passing through the point

(2, 5)

. Then the shortest distance of the point

(11, 6)

from this circle is :

(1)10
(2)8Official answer
(3)7
(4)5

Official answer

Option 2

NTA final key.

Chapter: Differential Equations
Topic: Homogeneous Equations
Idea tested: Recognizing Exact Differentials in Homogeneous Forms

Same idea in other shifts

Asked 2× in all

8 Apr 2024, Shift 2 · Q27Let $\alpha|x| = |y|e^{xy-\beta}$ , $\alpha, \beta \in \mathbb{N}$ be the solution of the differential equation…HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.