The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$ is

Which one is not periodic?

Product of real roots of equation $${t^2}{x^2} + \left| x \right| + 9 = 0$$

The locus of the centre of a circle which touches the circle $$\left| {z - {z_1}} \right| = a$$ and$$\left| {z - {z_2}} \right| = b\,$$ externally

($$z,\,{z_1}\,\& \,{z_2}\,$$ are complex numbers) will be :