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"I f"|(z1-3z2)/(3-z1 bar(z2))|=1"and"|z...

`"I f"|(z_1-3z_2)/(3-z_1 bar(z_2))|=1"and"|z_2|!=1,t h e n|z_1|"i s"` 3 (b) 1 (c) 2 (d) 4

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If z_(1),z_(2) are complex numbers such that |(z_(1)-3z_(2))/(3-z_(1)bar(z)_(2))|=1 and |z_(2)|!=1 then find |z_(1)|

If z_1 and z_2 are two complex numbers for which |(z_1-z_2)(1-z_1z_2)|=1 and |z_2|!=1 then (A) |z_2|=2 (B) |z_1|=1 (C) z_1=e^(itheta) (D) z_2=e^(itheta)

If |z_1=1,|z_2|=2,|z_3|=3 and |z_1+z_2+z_3|=1, then |9z_1z_2+4z_3z_1+z_2z_3| is equal to (A) 3 (B) 36 (C) 216 (D) 1296

if z_(1) = 3i and z_(2) =1 + 2i , then find z_(1)z_(2) -z_(1)

if z_(1) =2+3i and z_(2) = 1+i then find, |z_(1)+z_(2)|

RESONANCE DPP-JEE MAINS-All Questions
  1. Consider I1=int0^(pi/4)e^x^2dx ,I2=int0^(pi/4)e^x dx ,I3=int0^(pi/4)e^...

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  2. The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. ...

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  3. "I f"|(z1-3z2)/(3-z1 bar(z2))|=1"and"|z2|!=1,t h e n|z1|"i s" 3 (b) ...

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  4. I1=int0^(pi/2)ln(sinx)dx ,I2=int(-pi/4)^(pi/4)ln(sinx+cosx)dxdot Then ...

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  5. If alpha and beta are the roots of x^2-2x+4=0 , then alpha^n+beta^n is...

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  6. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

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  7. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

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  8. Show that the relation geq on the set R of all real numbers is r...

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  9. The polar form of the complex number (i^(25))^3 is (a) cos(pi/2)+isin(...

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  10. ((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

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  11. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

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  12. If(5z2)/(7z1) is purely imaginary, then |(2z1+3z2)/(2z1-3z2)|= (A)...

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  13. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

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  14. Let z be a complex number having the argument theta,0<theta<pi//2,a n ...

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  15. If the area of the triangle on the complex plane formed by the points ...

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  16. If alpha + beta + gamma = pi, then the value of the determinant |(e^...

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  17. If vec a is perpendicular to vec b and vec r is non-zero vector suc...

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  18. int(1+x^4)/((1-x^4)^(3/2))dx i s e q u a l to 1/(sqrt(...

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  19. Evaluate: int(sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

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  20. int(sin^4x-cos^4x)dx is equal to

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