If a R and the equation -3(x - [x])^2 + 2(x - [x]) + a^2 = 0 (where [x] denotes the greatest integer x) has no integral solution, then all possible values of a lie in the interval:

JEE Main 2014 Mathematics question

If and the equation (where denotes the greatest integer ) has no integral solution, then all possible values of a lie in the interval:

Answer: (B)

Let ; the equation becomes . A non-integral solution needs a root : with 3t^2$ - 2t -

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-008707