Argand Plane and Polar Representation
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Complex Numbers and Quadratic Equation

117967 If \(x_r=\cos \frac{\pi}{2^{\mathrm{r}}}+i \sin \frac{\pi}{2^{\mathrm{r}}}\), then \(x_1 \cdot x_2 \cdot x_3 \ldots\) to \(\infty=\)

1 \(1 / 2\)
2 -1
3 0
4 1
Complex Numbers and Quadratic Equation

117968 The continued product of the four values of \(\left(\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}\right)^{3 / 4}\) is

1 1
2 -1
3 2
4 -2
Complex Numbers and Quadratic Equation

117970 What is the principal value of amplitude of \(1-\) i?

1 \(-\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 4\)
4 \(-\pi / 3\)
Complex Numbers and Quadratic Equation

117971 The amplitude of \(\sin \frac{\pi}{5}+i\left(1-\cos \frac{\pi}{5}\right)\) is

1 \(\frac{2 \pi}{5}\)
2 \(\frac{\pi}{5}\)
3 \(\frac{\pi}{15}\)
4 \(\frac{\pi}{10}\)
Complex Numbers and Quadratic Equation

117967 If \(x_r=\cos \frac{\pi}{2^{\mathrm{r}}}+i \sin \frac{\pi}{2^{\mathrm{r}}}\), then \(x_1 \cdot x_2 \cdot x_3 \ldots\) to \(\infty=\)

1 \(1 / 2\)
2 -1
3 0
4 1
Complex Numbers and Quadratic Equation

117968 The continued product of the four values of \(\left(\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}\right)^{3 / 4}\) is

1 1
2 -1
3 2
4 -2
Complex Numbers and Quadratic Equation

117970 What is the principal value of amplitude of \(1-\) i?

1 \(-\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 4\)
4 \(-\pi / 3\)
Complex Numbers and Quadratic Equation

117971 The amplitude of \(\sin \frac{\pi}{5}+i\left(1-\cos \frac{\pi}{5}\right)\) is

1 \(\frac{2 \pi}{5}\)
2 \(\frac{\pi}{5}\)
3 \(\frac{\pi}{15}\)
4 \(\frac{\pi}{10}\)
Complex Numbers and Quadratic Equation

117967 If \(x_r=\cos \frac{\pi}{2^{\mathrm{r}}}+i \sin \frac{\pi}{2^{\mathrm{r}}}\), then \(x_1 \cdot x_2 \cdot x_3 \ldots\) to \(\infty=\)

1 \(1 / 2\)
2 -1
3 0
4 1
Complex Numbers and Quadratic Equation

117968 The continued product of the four values of \(\left(\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}\right)^{3 / 4}\) is

1 1
2 -1
3 2
4 -2
Complex Numbers and Quadratic Equation

117970 What is the principal value of amplitude of \(1-\) i?

1 \(-\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 4\)
4 \(-\pi / 3\)
Complex Numbers and Quadratic Equation

117971 The amplitude of \(\sin \frac{\pi}{5}+i\left(1-\cos \frac{\pi}{5}\right)\) is

1 \(\frac{2 \pi}{5}\)
2 \(\frac{\pi}{5}\)
3 \(\frac{\pi}{15}\)
4 \(\frac{\pi}{10}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Complex Numbers and Quadratic Equation

117967 If \(x_r=\cos \frac{\pi}{2^{\mathrm{r}}}+i \sin \frac{\pi}{2^{\mathrm{r}}}\), then \(x_1 \cdot x_2 \cdot x_3 \ldots\) to \(\infty=\)

1 \(1 / 2\)
2 -1
3 0
4 1
Complex Numbers and Quadratic Equation

117968 The continued product of the four values of \(\left(\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}\right)^{3 / 4}\) is

1 1
2 -1
3 2
4 -2
Complex Numbers and Quadratic Equation

117970 What is the principal value of amplitude of \(1-\) i?

1 \(-\pi / 4\)
2 \(\pi / 3\)
3 \(\pi / 4\)
4 \(-\pi / 3\)
Complex Numbers and Quadratic Equation

117971 The amplitude of \(\sin \frac{\pi}{5}+i\left(1-\cos \frac{\pi}{5}\right)\) is

1 \(\frac{2 \pi}{5}\)
2 \(\frac{\pi}{5}\)
3 \(\frac{\pi}{15}\)
4 \(\frac{\pi}{10}\)