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If log(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<...

If `log_(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0` then the region traced by z is ___

A

|z|=5

B

|z|lt 5

C

|z| gt5

D

2 lt |z| lt 3

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The correct Answer is:
B, D
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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -C) (objective Type Questions ( more thena one options are correct )
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  2. If z(1) = a + ib " and " z(2) + c id are complex numbers such that ...

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  3. If log(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0 then the region traced by z ...

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  4. If z(1) ,z(2) be two complex numbers satisfying the equation |(z(1)...

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  5. If sin alpha, cosalpha are the roots of the equation x^2 + bx + c = 0 ...

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  6. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

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  7. The solution set of the inequality (x+3)^(5) -(x -1)^(5) ge 244 is

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  8. Let a,b,c be real numbers in G.P. such that a and c are positive , the...

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  10. If the quadratic equations x^(2) +pqx +r=0 and z^(2) +prx +q=0 have a...

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  11. The quadratic equation x^(2) - (m -3)x + m =0 has

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  12. If both roots of the equation x^(2) -2ax+a^(2)-1=0 lie between -3 and...

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  13. Let alpha, beta " the roots of " x^(2) -4x + A =0 and gamma, delta " ...

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  14. For the equation x^(3/4(logx)^(2)+log(2)x-5/4)=sqrt2, which one of the...

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  15. If f(x) =ax^(2) +bx + c, g(x)= -ax^(2) + bx +c " where " ac ne 0 "...

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  16. Sum of the squares of all integral values of a for which the inequalit...

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  17. If the roots of the equation 1/(x+p) + 1/(x+q) = 1/r are equal in mag...

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  18. Find the integral values of a for which (a+2)x^2+2(a+1)x+a=0 will have...

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  19. If (x-1)^(2) is a factor of ax^(3) +bx^(2) +c then roots of the equa...

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  20. if b^(2)ge4ac for the equation ax^(4)+bx^(2) +c=0 then roots of the e...

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