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If |z-2-i|=|z|sin(pi/4-a r g z)| , wher...

If `|z-2-i|=|z|sin(pi/4-a r g z)|` , where `i=sqrt(-1)` ,then locus of z, is

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. ...

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  2. What is locus of z if |z-1-sin^(-1)(1/sqrt3)|+|z+cos^(-1)(1/sqrt3)-p...

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  3. If |z-2-i|=|z|sin(pi/4-a r g z)| , where i=sqrt(-1) ,then locus of z,...

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  4. The number of integral values of a for which the quadratic equation (x...

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  5. omega is an imaginary root of unity. Prove that (i) ( a + bomeg...

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  6. If z is a complex number having least absolute value and |z-2+2i|=1,th...

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  7. If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, t...

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  8. Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/...

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  9. omega is an imaginary root of unity. Prove that (a+bomega+comega^2)^3+...

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  10. The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 ...

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  11. If |z-1| + |z + 3| le 8, then prove that z lies on the circle.

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  12. If z1a n dz2 are the complex roots of the equation (x-3)^3+1=0,t h e n...

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  13. If the quadratic equation a x^2+b x+6=0 does not have real roots and b...

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  14. If the equation |z-a|+|z-b|=3 represents an ellipse and a ,b in C ,w ...

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  15. If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt(...

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  16. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

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  17. Find the locus of point z if z , i ,and iz , are collinear.

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  18. If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...

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  19. What is the maximum height of any point on the curve y=-x^2+6x-5 above...

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  20. Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...

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