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JEE 2020 Mathematics : Quadratic Equations
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Question 1
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
Question 2
If α and β are roots of the equation such that then p belongs to the set :
Question 3
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
Question 4
The value of K for which the equation (k-2) x2+8x+K+4=0 has both roots real, distinct and negative is
Question 5
The largest interval for which >0 is
Question 6
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
Question 7
The expression y = ax2 + bx + c has always the same sign as of ‘a’ if
Question 8
The entire graph of the expression y = x2 + kx – x + 9 is strictly above the x–axis if and only if
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Dec 5JEE & BITSAT