Question
Question: Let S denote the set of all real values of a for which the roots of the equation x<sup>2</sup> – 2ax...
Let S denote the set of all real values of a for which the roots of the equation x2 – 2ax + a2 – 1 = 0lie between 5 and 10, then S equals
A
(–1, 2)
B
(2, 9)
C
(4, 9)
D
(6, 9)
Answer
(6, 9)
Explanation
Solution
equation x2 – 2ax + a2 = 1 or (x – a)2 = 1
∴roots are x = a ฑ 1.