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Syllabus

Ans: BCD.

Ans: A.

How?

Represent the following in polar form

1/1+i

Ans: opt A.

If a+3i/2+ib=1-i, show that (5a-3b)=0.

_{1}bar) = arg (Z_{2}) thenHow?

^{6}+i^{7}+i^{8}+i^{9}/i^{2}+i^{3}Ans: 2

How

if a+3i / 2+ ib = 1-i, show that (5a-7b) = 0

_{1}/Z_{2}l = 1 and arg (Z_{1}Z_{2}) = 0 thenshow that (-1+root3i)

^{3}is a real number.^{10}+i^{20}+i^{30}show that is reali^{2}) = 47. The subset of complete set of values of k for which the expression x

^{2}-2(k-2) x-2k^{2}-5k+6 is always positive is.$\left(\mathrm{A}\right)\left(-1,\frac{2}{3}\right)\left(\mathrm{B}\right)\left(0,\frac{1}{2}\right)\left(\mathrm{C}\right)(-\infty ,-1]\cup [\frac{2}{3},\infty ),\left(\mathrm{D}\right)\left(\frac{2}{3},1\right)$