tmua 2016 Q15

tmua · Uk · paper2 1 marks Discriminant and conditions for roots Parameter range for specific root conditions (location/count)

Consider the quadratic $f ( x ) = x ^ { 2 } - 2 p x + q$ and the statement:
$\left( ^ { * } \right) f ( x ) = 0$ has two real roots whose difference is greater than 2 and less than 4.
Which one of the following statements is true if and only if (*) is true?

& C & 15 & D

Consider the quadratic $f ( x ) = x ^ { 2 } - 2 p x + q$ and the statement:

$\left( ^ { * } \right) f ( x ) = 0$ has two real roots whose difference is greater than 2 and less than 4.

Which one of the following statements is true if and only if (*) is true?

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20