MathsJEE Main 24 Jan 2026, Shift 2·Q18·MCQ·Moderate

Quadratic Equations · Location of roots

The smallest positive integral value of

a

, for which all the roots of

x^4 - ax^2 + 9 = 0

are real and distinct, is equal to

(1)9
(2)3
(3)4
(4)7

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

See the full 24 Jan 2026, Shift 2 paper

More on Location of roots

21 Jan 2026, Shift 2 · Q9Let α and β be the roots of equation x2 + 2ax + (3a + 10) = 0 such that α < 1 < β. Then the set of all possible values of a is:
28 Jan 2026, Shift 2 · Q7Let the arithmetic mean of 1a and 1b be 5/16, a > 2. If α is such that a, 4, α, b are in A.P., then the equation α x2 - ax + 2(α - 2b) = 0…
4 Apr 2026, Shift 2 · Q5If the quadratic equation (λ + 2)x2 - 3λ x + 4λ = 0, λ -2, has two positive roots, then the number of possible integral values of λ is: