JEE Main 2019 — Quadratic Equation Questions with Solutions

If three distinct numbers a ,   b ,   c are in G.P. and the equations a x 2 + 2 b x + c = 0 and d x 2 + 2 e x…

If α , β and γ are three consecutive terms of a non-constant G.P. Such that the equations α x 2 + 2…

The sum of the solutions of the equation x - 2 + x x - 4 + 2 = 0 , x > 0   is equal to

The value of λ such that sum of the squares of the roots of the quadratic equation, x 2 + 3 - λ   x + 2…

Let α and β be the roots of the equation x 2 + 2 x + 2 = 0 , then α 15 + β 15 is equal to

If both the roots of the quadratic equation x 2 - m x + 4 = 0 are real and distinct and they lie in the interval 1 , &#…

If one real root of the quadratic equation 81 x²+k x+256=0 is cube of the other root, then a value of k is :

The number of all possible positive integral value of α for which the roots of the quadratic equation 6 x 2 - 11 x…

Consider the quadratic equation c - 5 x 2 - 2 c x + c - 4 = 0 ,   c ≠ 5 . Let S be the set of all integral v…

If λ be the ratio of the roots of the quadratic equation in x ,   3 m 2 x 2 + m m - 4 x + 2 = 0 , then the le…