Home
Class 12
MATHS
If cosA+cosB+cosC=0,sinA+sinB+sinC=0andA...

If `cosA+cosB+cosC=0,sinA+sinB+sinC=0andA+B+C=180^(@)` then the value of `cos3A+cos3B+cos3C` is :

A

3

B

`-3`

C

`sqrt3`

D

`-sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise NUMRICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|90 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The value of 2sinA cos^(3)A -2sin^(3)A cosA is

If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sinA = sinB- sin^(3)B , then the value of 1620 sin^(2) (A-B) is ……………..

Let 0lt=a , b , c ,dlt=pi, where b and c are not complementary, such that 2cosa+6cosb+7cosc+9cosd=0 and 2sina-6sinb+7sinc-9sind=0, then the value of 3(cos(a+d))/("cos"(b+c)) is_____

Suppose A and B are two angles such that A , B in (0,pi) and satisfy sinA+sinB=1 and cosA+cosB=0. Then the value of 12cos2A+4cos2B is____

Suppose A and B are two angles such that A , B in (0,pi) and satisfy sinA+sinB=1 and cosA+cosB=0. Then the value of 12cos2A+4cos2B is____

sinA+sinB= r3 (cosB−cosA). Find the value of sin3A+sin3B

If A+B+C=180^0,\ then s e c A(cos B cos C-sin B sin C) is equal to:

If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

(a+b+c)(cosA+cosB+cosC)

VMC MODULES ENGLISH-COMPLEX NUMBERS -LEVEL - 2
  1. If arg(z)=-pi/4 then the value of arg((z^5+(bar(z))^5)/(1+z(bar(z))))^...

    Text Solution

    |

  2. If p/a + q/b + r/c=1 and a/p + b/q + c/r=0, then the value of p^(2)/a^...

    Text Solution

    |

  3. If cosA+cosB+cosC=0,sinA+sinB+sinC=0andA+B+C=180^(@) then the value of...

    Text Solution

    |

  4. Let |(barZ(1) - 2barz(2))//(2-z(1)barz(2))|= 1 and |z(2)| ne 1, where...

    Text Solution

    |

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

    Text Solution

    |

  6. If |z+2-i|=5 and maxium value of |3z +9-7i| is M, then the value of M ...

    Text Solution

    |

  7. If a, b are complex numbers and one of the roots of the equation x^(2)...

    Text Solution

    |

  8. Solve for z : z^2-(3-2i)z=(5i-5)dot

    Text Solution

    |

  9. Find number of values of complex numbers omega satisfying the system o...

    Text Solution

    |

  10. For |z-1|=1, show that tan{[a r g(z-1)]//2}-(2i//z)=-idot

    Text Solution

    |

  11. If nge3and1,alpha(1),alpha(2),.......,alpha(n-1) are nth roots of unit...

    Text Solution

    |

  12. Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of c...

    Text Solution

    |

  13. If z=x+i y is a complex number with x ,y in Qa n d|z|=1, then show th...

    Text Solution

    |

  14. If z^3+(3+2i)z+(-1+i a)=0 has one real roots, then the value of a lies...

    Text Solution

    |

  15. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

    Text Solution

    |

  16. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

    Text Solution

    |

  17. If m and x are two real number s and i=sqrt(-1), prove that e^(2mico...

    Text Solution

    |

  18. Find the range of real number alpha for which the equation z + al...

    Text Solution

    |

  19. The condition that x^(n+1)-x^(n)+1 shall be divisible by x^(2)-x+1 is ...

    Text Solution

    |

  20. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d ...

    Text Solution

    |