1.

The number of points of discontinuity of `f(x)=[2x]^(2)-{2x}^(2)` (where [ ] denotes the greatest integer function and { } is fractional part of x) in the interval `(-2,2)`, isA. 1B. 6C. 2D. 5

Answer» Correct Answer - B
Given, `f(x)=([2x]+{2x})([2x]-{2x})=4x-4x{2x}`
`2x in (-4,4)`
Hence f(x) is discontinuous when `2x=-3, -2, -1, 1,2,3.`
At `x=0,f(x)` is continuous


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