Learn

Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2026, Shift 2, Maths Q5

Question 5 of 75 in this shift, Maths question 5 of 25, Section A.

If the quadratic equation (λ+2)x2−3λx+4λ=0(\lambda+2)x^2-3\lambda x+4\lambda=0, λ≠−2\lambda\neq-2, has two positive roots, then the number of possible integral values of λ\lambda is:
  1. (1)1
  2. (2)2Official answer
  3. (3)3
  4. (4)4

Official answer

Option 2

NTA final key.

Chapter
Complex Numbers and Quadratic Equations
Topic
Location of Roots
Idea tested
Both Roots Positive

Same idea in other shifts

Asked 2× in all
  1. 2 Apr 2025, Shift 2 · Q21If the set of all a∈R−{1}a \in \mathbf{R} - \{1\}, for which the roots of the equation (1−a)x2+2(a−3)x+9=0(1-a)x^2 + 2(a-3)x + 9 = 0 are positive is…MediumNumerical 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 42 of the 174 JEE Main shifts held from 2017 to 2026.