JEE Main 2020 — Quadratic Equation Questions with Solutions

Let α and β be the roots of the equation x 2 - x - 1 = 0 . If p k = α k + β k , k ≥ 1 , then…

If α and β are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of α 1 - α 2 + &#946…

Let S , be the set of all real roots of the equation, 3 x 3 x - 1 + 2 = 3 x - 1 + 3 x - 2 , then

If α and β are the roots of the equation 2 x 2 x + 1 = 1 , then β is equal to :

Let a , b ∈ R , a ≠ 0 be such that the equation, a x 2 - 2 b x + 5 = 0 has a repeated root α , which i…

Consider the two sets: A = { m ∈ R : both the roots of x 2 - ( m + 1 ) x + m + 4 = 0 are real } and B = [ - 3 , 5…

If α and β are the roots of the equation x 2 + p x + 2 = 0 and 1 α and 1 β are the roots of the equ…

Let α and β be the roots of the equation, 5 x 2 + 6 x - 2 = 0 . If S n = α n + β n ,   n = 1 ,…

Let α and β be two real roots of the equation k + 1 t a n 2 x - 2 ⋅ λ tan ⁡ x = 1 - k , wher…

Let α and β be the roots of x 2 - 3 x + p = 0 and γ and δ be the roots of x 2 - 6 x + q = 0 . If &#…