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If the area of the triangle on the compl...

If the area of the triangle on the complex plane formed by the points z, iz and z+iz is 50 square units, then `|z|` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

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

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

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

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

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

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

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

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  9. inte^(xlna)*e^x dx

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  10. If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then...

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  11. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

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  12. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

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  13. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  14. Let vec a , vec b , vec c be the three unit vectors such that vec a+...

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  15. int1/(1+sqrt(x))"dx" is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b. 2sqrt(x...

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  16. If ABCD is a parallelogram, vec A B=2 hat i+4 hat j-5 hat k and vec ...

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  17. If the vectors bar A B=3 hat i+4 hat k and bar A C=5 hat i-2 hat j+...

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  18. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  19. int (x^2+2)/(x^4+4) dx=

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  20. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi...

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