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Let z be a complex number having the arg...

Let `z` be a complex number having the argument `theta,0

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RESONANCE DPP-JEE MAINS-All Questions
  1. If(5z2)/(7z1) is purely imaginary, then |(2z1+3z2)/(2z1-3z2)|= (A)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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