## Condition for common roots - Advance

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 the equation x2+px+qr=0 and x2+qx+pr=0 have a common root, then the sum and product of their other roots are respectively

•   r, pq
•  –r, pq
•  pq, r
•   –pq, r

–r, pq

Q2. 364. If x is real, then the value of x2-6x+13 will not be less then

•  4
•  6
•  7
•  8

4

Q3.  If x be real, the least value of x2-6x+10 is

•   1
•  2
•  3
•  10

1

Q4.  The smallest value of x2-3x+3 in the interval (-3,3/2) is

•   3/4
•   5
•  -15
•  20

3/4

Q5.  If x = 2 + 21/3+22/3 , then x3+6x2+6x equals

•  2
•  -2
•  0
•  1

2

Q6.  If x be real, then the minimum value of x2-8x+17 is

•  0
•   2
•  1
•  -1

1

Q7. If x be real, then the maximum value of 5+4x-4x2 will be equal to

•   2
•  6
•  3
•  None of these

6

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Condition for common roots - Advance
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