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Exercise 2.1 (Solutions)
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hich of the following are rational and irrational numbers: (i) $\sqrt{3}$ (ii) $\frac{1}{6}$ (iii) $\pi$ (... lse** ====Question 4==== Represent the following numbers on the number line. (i) $\frac{2}{3}$ (ii) $-\f... $\frac{5}{9}$. **Soluation**\\ The mean of the numbers is between given numbers. Therefore $\frac{3/4+5/9}{2}= \frac{47}{72}$ is a number between required number
Exercise 2.5 (Solutions)
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on 2==== * Write the conjugate of the following numbers (i) $2 + 3i$ (ii) $3 - 5i$ (iii) $-i$ ... rite the real and imaginary part of the following numbers. * (i) $1 + i$ * (ii) $
Exercise 2.6 (Solutions)
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+ i^2) is (-1 + 6i)$\\ (v) Difference of complex numbers $z = a + ib$ and its conjugate is a real number.\... the standrad form $a+ib$, where a and b are real numbers. (i) $(2+3i)+(7-2i)$ (ii) $2(5+4i)+3(7-4i)$
Exercise 2.2 (Solutions)
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wing blanks by stating the properties of the real numbers used, $$ \begin{array}{cl} 3x + 3(y - x) &= 3x +