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If cosalpha+2cosbeta+3cosgamma=sinalpha+...

If `cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt h ev a l u eofsinalpha+8s in3beta+27sin3gammai s` `sin(a+b+gamma)` b. `3sin(alpha+beta+gamma)` c. `18"sin"(alpha+beta+gamma)` d. `sin(alpha+2beta+3)`

A

0

B

3

C

18

D

`-18`

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The correct Answer is:
c
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Chapter Test
  1. The expression (1+i)^(n1)+(1+i^(3))^(n2) is real iff

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  2. If |{:(6i,3i,1),(4,3i,-1),(20,3,i):}|=x+iy, then (x, y) is equal to

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  3. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt ...

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  4. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt ...

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  5. Sum of the series sum(r=0)^n (-1)^r ^nCr[i^(5r)+i^(6r)+i^(7r)+i^(8r)] ...

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  6. If az(1)+bz(2)+cz(3)=0 for complex numbers z(1),z(2),z(3) and real num...

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  7. If 2z1-3z2 + z3=0, then z1, z2 and z3 are represented by

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  8. If Re((z+4)/(2z-1)) = 1/2 then z is represented by a point lying on

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  9. The vertices of a square are z(1),z(2),z(3) and z(4) taken in the anti...

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  10. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

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  11. If z(1),z(2),z(3), represent vertices of an equilateral triangle such ...

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  12. If P,P^(') represent the complex number z(1) and its additive inverse ...

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  13. Let A(z(1)),B(z(2)),C(z(3)) be the vertices of an equilateral triangle...

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  14. The area of the triangle (in square units) whose vertices are i, omega...

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  15. Show that the complex number z, satisfying the condition arg ((z -1)/(...

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  16. If A,B,C are three points in the Argand plane representing the complex...

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  17. If z(bar(z+alpha))+barz(z+alpha)=0, where alpha is a complex constant,...

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  18. Let A,B,C be three collinear points which are such that AB.AC=1 and th...

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  19. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

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  20. If z be a complex number, then |z-3-4i|^(2)+|z+4+2i|^(2)=k represent...

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