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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.  Given that, for all real x, the expression x2-2x+4/x2+2x+4 lies between 1/3 and 3. The values between which the expression 9.32x+6.3x+4/9.32x-6.3x+4 lies are

•   1/3 and 3
•  -2 and 0
•  -1 and 1
•   0 and 2

1/3 and 3

Q2.  If x, y, z are real and distinct, then u = x2+4y2+9z2-6yz-3zx-2xy is always

•  Non-negative
•  Non-positive
•  Zero
•  None of these

Non-negative

Q3.  If f(x) = 3x+4x+5x-6x, then f(x)

•   Only one value of x
•  No value of x
•   Only two values of x
•   Infinitely many values of x

Infinitely many values of x

Q4.  If x belongs to [2,4] then for the expression x2-6x+5=0

•   The least value x = -4
•   The greatest value x = 4
•  The greatest value x = 7
•  The greatest value x = -3

The least value x = -4

Q5.  If p(x) be a polynomial satisfying the identity p(x2)+2x2+10x=2px(x+1)+3 , then p(x) is given by

•  2x+3
•  3x-4
•  -2x-3
•  -3x-9

2x+3

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