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Syllabus

[1/rt7]

a is a real root of 2x^3-3x^2+6x+6=0 the find [a] where [.]denotes the greatest integer functionIf ω is imaginary cube root of unity and (a + bω + cω

^{2})^{2015}= (a + bω^{2}+ cω) where a,b,c are unequal real numbers, then a^{2}+ b^{2}+ c^{2}– ab – bc – ca is equal to- (1) 0 (2) (3) 1 (4) –1(a)a<2 (b) a>2 (c) a=2 (d) none

HOW DO WE FIND

THETA IN POLAR FORM SQ. If $\frac{1-\iota x}{1+\iota x}=a+\iota band{a}^{2}+{b}^{2}=1$, where $a,b\in Rand\iota =iota$, then x is equal to