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Find the equation of the circle in argan...

Find the equation of the circle in argand plane which passes through non real cube roots of unity and touches two sides of triangle with vertices as cube roots of unity

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MOTION-COMPLEX NUMBER -EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED
  1. Find the equation of the circle in argand plane which passes through n...

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  2. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

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  3. A man walks a distance of 3 units from the origin towards the North...

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  4. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

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  5. A particle P starts from the point z(0)=1+2i, where i=sqrt(-1). It mov...

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  6. Let A ,B ,C be three sets of complex number as defined below A={z : I ...

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  7. Let A,B,C be three sets of complex number as defined below A={z:lm ...

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  8. Let A,B,C be three sets of complex number as defined below A={z:lm ...

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  9. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

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  10. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

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  11. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

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  12. Let omega be a complex cube root unity with omega!=1. A fair die is th...

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  13. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

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  14. Let omega be the complex number " cos " ( 2pi)/(3) + isin (2pi)/(3)...

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  15. Match the statement in Column I with those in Column II. [Note : He...

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  16. Let a, b and c be three real numbers satisfying [a" "b" "c][[1,9,7],[...

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  17. Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...

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  18. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  19. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  20. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  21. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

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