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If z1=5+12 i and |z2|=4,t h e n...

If `z_1=5+12 i and |z_2|=4,t h e n`

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If z_1=5+12 ia n d|z_2|=4,t h e n (a) maximum (|z_1+i z_2|)=17 (b) maximum (|z_1+(1+i)z_2|)=13+4sqrt(2) (c) minimum |(z_1)/(z_2+4/(z_2))|=(13)/4 (d) minimum |(z_1)/(z_2+4/(z_2))|=(13)/5

If |z_1|=15 and |z_2-3-4i|=5,t h e n

If z_(1) = 5 + 12i and |z_(2)| = 4 , then

If |z_1|=1a n d|z_2|=2,t h e n Max (|2z_1-1+z_2|)=4 Min (|z_1-z_2|)=1 |z_2+1/(z_1)|lt=3 Min (|z_1=z_2|)=2

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |z_(1) + z_(2)| le |z_(1)| + |z_(2)|

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |z_(1)z_(2)|= |z_(1)||z_(2)|

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If p=a+bomega+comega^2, q=b+comega+aomega^2, and r=c+aomega+bomega^2,...

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  2. If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie ...

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  3. If z1=5+12 i and |z2|=4,t h e n

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  4. If roots of x^2-(a-3)x+a=0 are such that at least one of them is great...

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  5. If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z ...

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  6. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for re...

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  7. Write a linear equation representing a line which is parallel to y-axi...

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  8. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

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  9. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

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  10. The set of all possible real values of a such that the inequality (x-(...

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  11. Column I, Column II (Locus) parallelogram, p. z1-z4=z2-z3 rectang...

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  12. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

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  13. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

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  14. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

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  15. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

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  16. If n1, n2 are positive integers, then (1 + i)^(n1) + ( 1 + i^3)^(n1) +...

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  17. The total number of values a so that x^2-x-a=0 has integral roots, wh...

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  18. If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is e...

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  19. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

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  20. If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2...

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