JEE Main Maths · Complex Numbers and Quadratic Equations

Both Roots Positive

Both Roots Positive (Complex Numbers and Quadratic Equations) was asked 2 times in 2 JEE Main shifts, 2025–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2025–2026
Usual format: Numerical value; Multi-step
Pattern: New since 2024; repeats across shifts

How it is asked

Count integer parameters for root condition
Parameter range for both roots positive

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Complex Numbers and Quadratic Equations. Topic: Location of Roots, 5 questions over 4 ideas.

Every time it came

All 2 questions

Newest first, each with its options and official answer.

4 Apr 2026, Shift 2 · Q5If the quadratic equation $(\lambda+2)x^2-3\lambda x+4\lambda=0$ , $\lambda\neq-2$ , has two positive roots, then the number of possible…MediumSingle correct
2 Apr 2025, Shift 2 · Q21If the set of all $a \in \mathbf{R} - \{1\}$ , for which the roots of the equation $(1-a)x^2 + 2(a-3)x + 9 = 0$ are positive is…MediumNumerical value