MCQ
The function $f(x) = sgnx\,\cdot \,sinx$ is
- Adiscontinuous no where.
- Ban even function
- Caperiodic
- ✓All of the above

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Statement $-1$:An equation of a common tangent to these curve is $y = x + \sqrt 5 $
Statement $-2$: If the line, $y = mx + \frac{{\sqrt 5 }}{m}\left( {m \ne 0} \right)$ is their common tangent , then $m$ satisfies ${m^4} - 3{m^2} + 2 = 0$.