MCQ
What is the distance between the points $(2, -1, 3)$ and $(-2, 1, 3):$
- ✓$2\sqrt{5}\text{ units}$
- B$25\text{ units}$
- C$4\sqrt{5}\text{ units}$
- D$\sqrt{5}\text{ units}$
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$f ( x )=(3-\sin (2 \pi x )) \sin \left(\pi x -\frac{\pi}{4}\right)-\sin \left(3 \pi x +\frac{\pi}{4}\right)$
If $\alpha, \beta \in[0,2]$ are such that $\{x \in[0,2]: f(x) \geq 0\}=[\alpha, \beta]$, then the value of $\beta-\alpha$ is. . . . . . . . .