Home
Class 12
MATHS
If a sin theta =b sin (120^(@) +theta) ...

If ` a sin theta =b sin (120^(@) +theta) =c sin (240^(@) +theta),` then the value of `(ab+ bc+ ca)` is-

A

1

B

2

C

`-1`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If b cos (theta+120^(@))=c cos (theta +240^(@)), then the value of (b+c)/(b-c) tan theta is-

Value of [cos(40^@ + theta) - sin (50^@ - theta)] is

If cos theta -4 sin theta =1, then the value of (sin theta+4 cos theta) is-

sin theta + sin 5 theta = sin 3theta (0 le theta le 2pi)

sin5theta + sin2theta=0

If sin 6 theta =32 cos ^(5) theta sin theta -32 cos ^(3) theta sin theta + 3x, then the value of x is-

If sin theta =(24)/(25) and 0^(@) lt theta 90^(@), then the value of sin ""(theta)/(2) is-

If cos^4 theta - sin^4 theta = 2/3 , then the value of (1 - 2 sin^2 theta) is___

If 0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, then the value of sin theta is-

If tan theta =-4/3, then the value of sin theta is -

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. In any triangle ABC, if a,b,c are in A.P. then tan ""A/2, tan ""B/2, t...

    Text Solution

    |

  2. In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

    Text Solution

    |

  3. If a sin theta =b sin (120^(@) +theta) =c sin (240^(@) +theta), then ...

    Text Solution

    |

  4. The value of theta ( 0 lt theta lt (pi)/(2)) for which cos theta sin (...

    Text Solution

    |

  5. The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interv...

    Text Solution

    |

  6. The value of cos ""pi/7 cos ""(2pi)/(7) cos ""(3pi)/(7) is-

    Text Solution

    |

  7. In a triangle ABC, a=4 , b=3, A=60^(@), then c is the root of the equa...

    Text Solution

    |

  8. The valud of sin 12^(@) sin 48^(@) sin 54^(@) is equal to-

    Text Solution

    |

  9. In a right angled triangle, the hypotense is four times as long as the...

    Text Solution

    |

  10. If n is an integer, which of the following is correct ?

    Text Solution

    |

  11. If 1+ sin ^(2) A=3 sin A cos A , then possible values of tan A are-

    Text Solution

    |

  12. The soluition of the equation sin theta -2= cos 2 theta in the interv...

    Text Solution

    |

  13. The value od the expression sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta )))is-

    Text Solution

    |

  14. If tan x =b/a, then the value of (a cos 2x+ b sin 2x) is equal to-

    Text Solution

    |

  15. If x= sum(n=0)^(oo) cos ^(2n)theta , y = sum (n=o) ^(oo) sin ^(2n)thet...

    Text Solution

    |

  16. In a triangle PQR, angle R=(pi)/(2). If tan ""P/2 and tan ""Q/2 are th...

    Text Solution

    |

  17. If A+B+C=pi then the value of cos ^(2)A + cos ^(2) B+ cos ^(2)C is-

    Text Solution

    |

  18. Find the value of sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+..............

    Text Solution

    |

  19. If a,b, c are in G. P. then ((1)/(a ^(2) -b^(2))+ (1)/(b^(2))) is equl...

    Text Solution

    |

  20. If the amplitude of (z-2 -3i) is pi/4, then the locus of z=x +iy is -

    Text Solution

    |