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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