True False[1 Marks ]

Questions

8 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark

If $\alpha$ and $\beta$ are the roots of the equation $4 x^2+3 x+$ $7=0$, then $\frac{1}{\alpha}+\frac{1}{\beta}$ is equal to $\frac{3}{7}$.

Answer

False

Question 21 Mark

If $a$ and $b$ are the roots of equation $x^2+x+1=0$, then $a^2+b^2=-1$.

Answer

True

Question 31 Mark

If $z=\frac{1+i}{1-i}$, then the value of $z^4$ is -2 .

Answer

False

Question 41 Mark

The square root of $i$ is $\pm \frac{1}{\sqrt{2}}(1+i)$.

Answer

True

Question 51 Mark

$\left|z_1+z_2\right|^2=\left|z_1\right|^2+\left|z_2\right|^2+2 \operatorname{Re}\left(z_1 \bar{z}_2\right)$

Answer

True

Question 61 Mark

Answer

True

Question 71 Mark

The multiplicative inverse of $z=3-2 i$ is $\frac{3}{13}-\frac{2}{13} i$.

Answer

False

Question 81 Mark

For any two complex numbers $z_1$ and $z_2, z_1+z_2=$ $z_2+z_1$.

Answer

True

Maths True False[1 Marks ]