Question
Mathematics Question on types of sets
The set of all a∈ R for which the equation x|x-1|+|x-2|+a=0 has exactly one real root is
A
(-∞,-3)
B
(-6,∞)
C
(-∞,∞)
D
(-6,-3)
Answer
(-∞,∞)
Explanation
Solution
The correct option is(C): (-∞,∞)
The set of all a∈ R for which the equation x|x-1|+|x-2|+a=0 has exactly one real root is
(-∞,-3)
(-6,∞)
(-∞,∞)
(-6,-3)
(-∞,∞)
The correct option is(C): (-∞,∞)