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n 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.  The real roots of |x|3-3x2+3|x|-2=0 are

•   0,2
•  +1 or -1
•  +2 or -2
•   None of these

+2 or -2

Q2.  The equationex-x-1=0 has

•  Only one real root x = 0
•  At least two real roots
•  Exactly two real roots
•  Infinitely many real roots

Only one real root x = 0

Q3.  The number of real roots of the equation esinx - e-sinx-4 =0 are

•   1
•  2
•  Infinite
•   None of these

None of these

Q4.  If m be the number of integral solutions of equation 2x2-3xy-9y-11=0 and n be the number of real solutions of equation x3-[x]-3=0 , then m =

•   n
•   2n
•  3n
•  n/2

2n

Q5.  The number of real solutions of the equation |x2+4x+3|+2x+5=0 are

•  1
•  2
•  3
•  4

2

Q6.  If y is not equal to 0 then the number of values of the pair (x, y) such that x+y+x/y= 1/2 and (x+y)x/y = -1/2 , is

•  4
•   2
•  0
•  1

2

Q7.  The product of all the solutions of the equation (x-2)2-3|x-2|+2=0 is

•   2
•  1
•  0
•  None of these

0

Q8.  The number of real solutions of the equation log0.5x = |x| is

•  1
•   0
•   Infinitely many
•  None of these

1

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