Search
You can find the results of your search below.
Fulltext results:
- Exercise 2.6 (Solutions)
- ac{\overline{z}}{\overline{w}}$ * (v) $\frac{1}{2}(z+\overline{z})$ is real part of z * (vi) $\frac{1}{2i}(z-\overline{z})$ is the imaginary part of z **Solution**\\ 6(i) $$\begin{array}{cl} z = 2+3i\\ w = 5-4i\\ * (i... &= \frac{1}{2}(4)\\ &= 2 \hbox{ (it is real part of } z). \end{array}$$ 6(vi) $$\begin{array}{cl} \frac{1}{2i}(z-\overline{z}) &= \frac{1}{2}(2+3i-(2-3i))\\
- Exercise 2.1 (Solutions)
- (i) - To represent the rational number $\frac{2}{3}$ , divide unit length between 0 and 1 into 3 equal parts. - (ii) Take 2 parts on right of 0 - (iii) Point M represents $\frac{2}{3}$ on the number line in t... n the number line. - The distance between 1 and 2 is divided into 4 equal parts , from L we take 3 parts. - Point M represent $\frac{3}{4}$ on the numb... d -3 on the number line. - The distance between 2 and -3 is divided into 8 equal parts , from 2 we take 5 parts. (v) - Rational number $2\frac{3}{4
- Exercise 2.5 (Solutions)
- =======Exercise 2.5 (Solutions)======== ====Question 1==== * Evaluate (i) $i^7$ ... (ii) $i^{50}$ (iii) $i^{12}$ ... t)^5$ (vi) $i^{27}$ **Solution**\\ (i) $$\begin{array}{cl} i^7 &= {i^6}\cdot i\\ &= (i^2)^3\cdot i\\ &= {-1}^3 \cdot i\\ &= -i \end{