Correct Answer - Option 1 :
\(\frac{8}{5}\)
CONCEPT:
The smallest integer function which is greater than or equal to x and it is denoted by [x].
Example:[3.34] = 4, [0.67] = 1, [4] = 4, [- 8.112] = – 8, [- 0.5] = 0.
In general, if n is an integer and x is any real number between n and (n + 1).
i.e., n < x ≤ n + 1, then [x] = n + 1
CALCULATION:
Given function is f(x) = [-2.3] k – 2k + [8.34] k = [4.23] + [2.23]
As we know that for smallest integer function [-2.3] = -2, [8.34] = 9, [4.23] = 5, [2.23] = 3.
∴ -2k – 2k + 9k = 5 + 3
⇒
\(k = \;\frac{8}{5}\)
