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If alpha + beta + gamma = pi, then the v...

If `alpha + beta + gamma = pi`, then the value of the determinant
`|(e^(2i alpha),e^(-i gamma),e^(-i beta)),(e^(-i gamma),e^(2i beta),e^(-i alpha)),(e^(-i beta),e^(-i alpha),e^(2i gamma))|`, is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. If the area of the triangle on the complex plane formed by the points ...

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

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  4. Let f(x)=x+1/xa n dg(x)=(x+1)/(x+2) Match the composite function give...

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

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

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

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  11. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

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

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

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  14. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

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  15. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

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

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

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  18. Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) h...

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  19. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

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  20. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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