Question
If $\frac{(1+\text{i})^2}{2-\text{i}}=\text{x}+\text{iy,}$ find x, y.
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| Column I | Column II | ||
| (a) | $1^2+2^2+3^2+....+\text{n}^2$ | (i) | $\Big[\frac{\text{n}(\text{n}+1)}{2}\Big]^2$ |
| (b) | $1^3+2^3+3^3+....\text{n}^3$ | (ii) | $\text{n}(\text{n}+1)$ |
| (c) | $2+4+6+....+2\text{n}$ | (iii) | $\frac{\text{n}(\text{n}+1)(2\text{n}+1)}{6}$ |
| (d) | $1+2+3+....\text{n}$ | (iv) | $\frac{\text{n}(\text{n}+1)}{2}$ |
focus is (1, 1), directrix is 3 x + 4 y + 8 = 0 and eccentricity=2
$4\text{x}^2+\text{y}^2-8\text{x}+2\text{y}+1=0$
$\frac{\text{x}}{1+\tan\text{x}}$