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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 ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.

Q1.  If x is real, then the maximum and minimum values of the expression (x2-3x+4)/(x2+3x+4) will be

•   2,1
•  5,1/5
•  7,1/7
•   None of these

7,1/7

Q2.  If x is real, then the value of (x2+34x-71)/(x2+2x-7) does not lie between

•  –9 and –5
•  –5 and 9
•  0 and 9
•   5 and 9

5 and 9

Q3.  If is a common factor of p2+qx+r and q2+px+r , then

•   p=q=r
•  p=q , p+q+r=0
•  p=r , p+q+r=0
•  p=r , p+q+r=0

p=q , p+q+r=0

Q4.  x2-11x+a and x2-14x+2a will have a common factor, if

•   24
•   0, 24
•  3, 24
•  0, 3

0, 24

Q5.  If x2-3x+2 is a factor of x4-px2+q , then

•  p=7,q=1
•  p=5,q=4
•  p=4,q=0
•  p=-5,q=-4

p=5,q=4

Q6.  380. If x2+px+1 is a factor of the expression ax3+bx+c , then

•  a2-c2=-ab
•   a2+c2=-ab
•  a2-c2=ab
•  None of these

a2-c2=ab

Q7.  The condition that x3-3px+2q may be divisible by a factor of the form x2+2ax+a2 is

•   3p=2q
•  3p+2q=0
•  p3=q2
•  27p3=4q2

p3=q2

Q8.  If x be real then (x-a)(x-b)/(x-c) will take all real values when

•  a>b>c
•   a
•   a
•   None of these

a

Q9. The graph of the curve x2 = 3x - y - 2 is

•  Between the lines x=1 and x=3/2
•   Between the lines x=1 and x=2
•   Strictly below the line 4y = 1
•  None of these

Strictly below the line 4y=1

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BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET, IIT JEE COACHING INSTITUTE: Quadratic equations - Basic