JEE 2020 Mathematics : Quadratic Equations Quiz 1 28.06.2019

Let p, q, r ∈ R and r > p > 0. If the quadratic equation px² + qx + r = 0 has two complex roots α and β, then |α| + |β| is

If α and β are roots of the equation  such that  then p belongs to the set :

If a, b, c ∈ R and 1 is a root of equation ax² + bx + c = 0, then the curve y = 4ax² + 3bx + 2c, a ≠ 0 intersect x-axis at

The value of K for which the equation (k-2) x²+8x+K+4=0 has both roots real, distinct and negative is

Let a, b and c are real numbers such that 4a + 2b + c = 0 and ab > 0. Then the equation ax² + bx + c = 0 has

The expression y = ax² + bx + c has always the same sign as of ‘a’ if

The entire graph of the expression y = x² + kx – x + 9 is strictly above the x–axis if and only if

If a, b ∈ R, a ≠ 0 and the quadratic equation ax² – bx + 1 = 0 has imaginary roots then a + b + 1 is

Let f(x) = x² + 4x + 1. Then