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JEE 2020 Mathematics : Quadratic Equations Quiz 2 (03.07.2019)

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Question 1

If y = –2x2 – 6x + 9, then

Question 2

If the inequality (m – 2) x2 + 8x + m + 4 > 0 is satisfied for all x R, then least integral m is

Question 3

The complete solution set of the inequality  is

Question 4

The number of the integer solutions of x2 + 9 < (x + 3)2 < 8x + 25 is

Question 5

If α, β are the roots of the quadratic equation x2 – 2p (x – 4) – 15 = 0, then the set of values of p for which one roots is less than 1 & the other root is greater than 2 is

Question 6

If both roots of the quadratic equation (2 – x) (x + 1) = p are distinct & positive, then p must lie in the interval

Question 7

Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax2 + bx + c = 0

Question 8

The set of all solutions of the inequality
 contains the set

Question 9

Consider y =  where x is real, then the range of expression

y2 + y – 2 is

Question 10

If  then least and the highest values of 4x2 are
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Jun 21JEE & BITSAT