Mathematics Tes...

If \(A=\left\{x \in \mathbb{C}: x^{4}-1=0\right\}\)

\(B=\left\{x \in \mathbb{C}: x^{2}-1=0\right\}\)

\(C=\left\{x \in \mathbb{C}: x^{2}+1=0\right\}\)

Where \(\mathbb{C}\) is complex plane.

What is the derivative of |x - 1| at x = 2?

What is the vector perpendicular to both the vectors î - ĵ and î?

If \({ }^{9} \mathrm{P}_{5}+5 \cdot{ }^{9} \mathrm{P}_{4}={ }^{10} \mathrm{P}_{\mathrm{r}}\), then \(\mathrm{r}\) is

The condition that the straight line cx - by + b² = 0 may touch the circle x² + y² = ax + by is: (a, b, c ≠ 0)

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The number of ways in which 5 men and 3 women are to be seated at a round table so that no two women are to sit together is:

If \(a\) point \((z_1)\) is the reflection of a point \((z_2)\) through the line \((b {\bar{z}}+\bar{b} z=c, b \neq 0)\) in the argand plane, then \((\bar{b} z_2+b \bar{z}_1)\) is equal to:

If f(x) = |cos x - sin x|, then f'$\left(\frac{\mathrm{\pi }}{6}\right)$ is equal to: