JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 7 April 2025, Shift 2, Maths Q2

Question 2 of 75 in this shift, Maths question 2 of 25, Section A.

If the range of the function

f(x)=\frac{5-x}{x^2-3x+2}

x\ne 1,2

, is

(-\infty,\alpha]\cup[\beta,\infty)

, then

\alpha^2+\beta^2

is equal to :

(1)188
(2)190
(3)192
(4)194Official answer

Official answer

Option 4

NTA final key.

Chapter: Relations and Functions
Topic: Quadratic Roots
Idea tested: Range of Rational Quadratic Functions

Same topic in other shifts

All Quadratic Roots questions

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.