If a ∈ R and the equation –3 (x – [x]) 2 + 2 (x – [x]) + a 2 = 0 (where [x] denotes the…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If a ∈ R and the equation –3 (x – [x])2 + 2 (x – [x]) + a2 = 0
(where [x] denotes the greatest integer ≤ x) has no integral solution, then all possible values of a lie in the interval:
(where [x] denotes the greatest integer ≤ x) has no integral solution, then all possible values of a lie in the interval:
- (–∞, –2) ∪ (2, ∞)
- (–1, 0) ∪ (0, 1)
- (1, 2)
- (–2, –1)
Answer
(B) (–1, 0) ∪ (0, 1)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If the roots of the equation (x - b) (x - c) + (x - c) (x - a) + (x -a) (x - b) = 0 are equal, then
- If the product of the roots of the equation x ^ 2 - 3 k x + 2 e ^ 2 lng k -1= 0 is 7. Then the roots of the…
- If w= z z- 1 3 i and |w|=1 , then z lies on
- If the equations x^ 2 +p x+q=0 and x^ 2 +q x+p=0 have a common root then (p+q+1) is equal to
- Let p, q R. If 2- 3 is a root of the quadratic equation, x^ 2 +p x+q=0 , then:
- The smallest positive integer n for which (1+i)^ 2 n =(1-i)^ 2 n is
- For real parameter t, the locus of the complex number z= (1-t^ 2 )+i 1+t^ 2 in the complex plane is
- If α and β are the roots of the quadratic equation, x 2 + x sinθ – 2 sinθ = 0, then is equal to
More Complex Numbers and Quadratic Equations questions · Browse all practice questions