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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
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