Mathematics · 2025
JEE Main · 29 January 2025, Shift 1 · Q3
The number of solutions of the equation (9/x-9/(√ x)+2)(2/x-7/(√ x)+3)=0 is:
The number of solutions of the equation $\displaystyle \left(\frac{9}{x}-\frac{9}{\sqrt{x}}+2\right)\left(\frac{2}{x}-\frac{7}{\sqrt{x}}+3\right)=0$ is :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 4$
More from Quadratic Equations
- If α, β, where α<β, are the roots of the equation λ x^2-(λ+3) x+3=0 such that 1/(α)-1/(β)=1/3, then the sum of all possible values of λ is2026
- Let S={x^3+a x^2+b x+c: a, b, c ∈ N. and.a, b, c ≤ 20} be a set of polynomials. Then the number of polynomials in S, which are divisible by x^2+2, is2026
- Let α, β be the roots of the equation x^2-x+p=0 and γ, δ be the roots the equation x^2-4 x+q=0; p, q ∈ Z. If α, β, γ, δ are in G.P., then |p+q|…2026
- Let the equation x(x+2)(12-k)=2 have equal roots. Then the distance of the point (k, k/2) from the line 3 x+4 y+5=0 is2025
- The product of all the rational roots of the equation (x^2-9 x+11)^2-(x-4)(x-5)=3, is equal to2025
- Let α, β be the roots of the quadratic equation 12 x^2-20 x+3 λ=0, λ ∈ Z. If 1/2 ≤|β-α| ≤ 3/2, then the sum of all possible values of λ is:2026
- Let α, β be the roots of the equation x^2-3 x+r=0, and (α)/2, 2 β be the roots of the equation x^2+3 x+r=0. If the roots of the equation x^2+6 x=m…2026
- If α and β(α<β) are the roots of the equation (-2+√3)(|√x-3|)+(x-6 √x)+(9-2 √3)=0, x ≥ 0, then √((β)/(α))+√(α β) is equal to:2026
JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.