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In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a is not equal to 0. If a = 0, then the equation is linear, not quadratic, as there is no term.

Q1.  If ax2-bx+c=0 has two distinct real roots in (0, 1), where a,b,c belongs to N , then 16c(a-b+c)

•   greater than a2
•   less than a2
•  = a2
•   Noen of these

less than a2

Q2. The number of positive integral solutions of x2(3x-4)3(x-2)2/(x-5)5(2x-7)6 is

•  4
•  3
•  2
•  1

3

Q3.  The inequality |2x-3|<1 is valid when x lies in

•   (3, 4)
•  (1, 2)
•  (–1, 2)
•   (–4, 3)

(1, 2)

Q4. The graph of the function y=16x2+8(a+5)x-7a-5 is strictly above the x-axis, then ‘a’ must satisfy the inequality

•   -15
•   -2
•  5
•  None of these

-15

Q5.  The set of real values of x satisfying ||x-1| - 1| is less than or equal to 1 is

•  [-1,3]
•  [0,2]
•  [-1,1]
•  None fo these

[-1,3]

Q6.  If x is an interger satisfying x2-6x+5, which is less than or equal to zero, and x2-2x?0 then the number of possible values of x is

•  3
•   4
•  2
•  0

3

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