Home
Class 12
MATHS
Let cos A + cos B + cos C = 0 and sin A ...

Let `cos A + cos B + cos C = 0` and `sin A + sin B + sin C = 0` then which of the following statement(s) is/are correct?

A

` sum cos ( 2A -B-C) =1

B

`sum cos (2A -B-C)=0`

C

`sum sin ( 2A -B-C)=0`

D

`sum (2 A -B-C)=3`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section -D) Linked comprehension Type Questions|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assertion -Reason Type Questions|19 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section -B) (objective Type Questions ( one option is correct)|78 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following statement(s) is / are TRUE ?

In a triangle ABC , if cos A cos B + sin A sin B sin C = 1 , then a:b:c is equal to

If A, B, C are interior angles of DeltaABC such that (cos A + cos B + cos C)^(2)+(sin A + sin B + sin C)^(2)=9 , then number of possible triangles is

In a DeltaABC , if 4 cos A cos B + sin 2A+sin 2B+sin 2C=4 , then DeltaABC is

In any DeltaABC , prove that : a cos A + b cos B + c cos C = 2a sin B sin C

If in a DeltaABC, (a cos A+b cos B+ c cos C)/(a sin B+b sin C+ c sin A)=(a+b+c)/(9R) , then prove that Delta is equilateral.

In a Delta ABC , 2 sinA cos B + 2 sin B cos C + 2 sin C cos A = sin A + sin B + sin C, then Delta ABC is (a) Isoceles (b) Right Angled (c) Acute (d) None of these

if a cos theta + b sin theta = c. then what is the value of a sin theta -b cos theta

In DeltaABC,if cos A+ sin A -(2)/(cos B + sin B) =0, then (a+b)/c is equal to

AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -C) (objective Type Questions ( more thena one options are correct )
  1. If |3z-1|=3|z-2|, then z lies on

    Text Solution

    |

  2. If S=underset(k=1) overset(10)sum(sin""(2pik)/11+icos""(2pik)/11) then

    Text Solution

    |

  3. Let cos A + cos B + cos C = 0 and sin A + sin B + sin C = 0 then which...

    Text Solution

    |

  4. The equation whose roots are nth power of the roots of the equation, ...

    Text Solution

    |

  5. If z(1+a)=b+i ca n da^2+b^2+c^2=1, then [(1+i z)//(1-i z)= (a+i b)/(1...

    Text Solution

    |

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

    Text Solution

    |

  7. If alpha , beta , gamma are cube roots of p lt 0, then for any x , y,...

    Text Solution

    |

  8. If z is a complex number satisfying z + z^-1 = 1 then z^n + z^-n , n i...

    Text Solution

    |

  9. If z satisfies |z-1| lt |z +3| " then " omega = 2 z + 3 -i satisfies

    Text Solution

    |

  10. If |z + omega|^(2) = |z|^(2)+|omega|^(2), where z and omega are co...

    Text Solution

    |

  11. Let z(1)and z(2)be two complex numbers represented by points on circle...

    Text Solution

    |

  12. Let complex number z satisfy |z - 2/z| =1 " then " |z| can take all v...

    Text Solution

    |

  13. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

    Text Solution

    |

  14. If root3(-1) = -1 , -omega, -omega^(2) , then roots of the equation ...

    Text Solution

    |

  15. If z(1)=p+iq and z(2) = u = iv are complex numbers such that |z(1)|=...

    Text Solution

    |

  16. The pressure-volume of various thermodynamic process is shown in graph...

    Text Solution

    |

  17. If z(1) ,z(2) be two complex numbers satisfying the equation |(z(1)...

    Text Solution

    |

  18. If sin alpha, cosalpha are the roots of the equation x^2 + bx + c = 0 ...

    Text Solution

    |

  19. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

    Text Solution

    |

  20. The solution set of the inequality (x+3)^(5) -(x -1)^(5) ge 244 is

    Text Solution

    |