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Questions >> TN XII Math >> Complex Numbers

If $\left ( 1+\mathit{i} \right )\left ( 1+2\mathit{i} \right )\left ( 1+3\mathit{i} \right )... \left ( 1+\mathit{ni} \right )=\mathit{x+iy}$ , show that 2.5.10 ... $\left ( 1+n^{2} \right )$ = $x^{2}+y^{2}$

asked Apr 2, 2013 by geethradh

1 answer

For what values of $\mathit{x}$ and $\mathit{y}$ , the numbers $-3+\mathit{ix^{2}y}$ and $\mathit{x^{2}}+y+4\mathit{i}$ are complex conjugate of each other $?$

asked Apr 1, 2013 by geethradh

1 answer

Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\sqrt{x^{2}+3x+8} + \left ( x+4 \right )\mathit{i} = \mathit{y}\left (2 + \mathit{i} \right )$

asked Apr 1, 2013 by geethradh

1 answer

Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\large\frac{\left ( 1+\mathit{i} \right )\mathit{x}-2\mathit{i}}{3+\mathit{i}} + \frac{\left ( 2-3\mathit{i} \right )\mathit{y}+\mathit{i}}{3-\mathit{i}} =$ $\mathit{i}$

asked Apr 1, 2013 by geethradh

1 answer

Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\left ( 1-\mathit{i} \right )\mathit{x} + \left ( 1+\mathit{i} \right )\mathit{y} = 1-3\mathit{i}$

asked Apr 1, 2013 by geethradh

1 answer

Find the least positive integer $\mathit{n}$ such that $\left ( \large\frac{1+\mathit{i}}{1-\mathit{i}} \right )^{\mathit{n}}$ $= 1$

asked Apr 1, 2013 by geethradh

1 answer

Find the real and imaginary parts of the following complex numbers: $\left ( 2+i \right )\left ( 3-2i \right )$

asked Apr 1, 2013 by geethradh

1 answer

Find the real and imaginary parts of the following complex numbers: $\large\frac{2+5i}{4-3i}$

asked Apr 1, 2013 by geethradh

1 answer

Find the real and imaginary parts of the following complex numbers: $\large\frac{1}{1+i}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$ : $\large\frac{i^{4}+i^{9}+i^{16}}{3-2i^{8}-i^{10}-i^{15}}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$ : $\left ( -3+i \right )\left ( 4-2i \right )$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a+ib$ : $\large\frac{\left ( 1+i \right )\left ( 1-2i \right )}{1+3i}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$ : $\large\frac{2\left ( i-3 \right )}{\left ( 1+i \right )^{2}}$

asked Apr 1, 2013 by geethradh

1 answer

Express the following in the standard form $a + ib$ : $\frac{2(i-3)}{(1+i)^2}$

asked Apr 1, 2013 by balaji.thirumalai

0 answers

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