Home
Class 14
MATHS
If A+B+C=pi and A, B, C are acute positi...

If `A+B+C=pi` and A, B, C are acute positive angles and cotA cotB cotC = k, then

A

`klt1`

B

`kgt(1)/(sqrt(3))`

C

`k=(1)/(2sqrt(3))`

D

`kle(1)/(3sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise EXERCISES (Multiple Choice Questions)|350 Videos
  • TIME, SPEED & DISTNACE

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|108 Videos

Similar Questions

Explore conceptually related problems

If A and B are acute angles and SecA = 3,CotB = 4, then the value of ("cosec"^(2)A + sin^(2)B)/(cot^(2)A + sec^(2)B) is:

If A,B,C are positive acute angles and sin(B+C-A)=cos(C+A-B)=tan(A+B-C)=1 then A,B,C are

In DeltaABC if sinA.sin(B-C)= sinC.sin(A-B),then-(A!=B!=C) (A) tanA, tanB, tanC are in arithmetic progression (B) cotA, cotB, cotC are in arithmetic progression (C) cos2A, cos2B, cos2C are in arithmetic progression (D) sin2A. sin2B. sin2C are in arithmetic progression

If A and B are acute angles such that tanA=cotB , then show that A+B =90^(@) .

Statement-1 : If angles A, B, C of DeltaABC are acute, then cotA cotB cotCle(1)/(3sqrt(3)). Statement-2: If a, b, c are positive real numbers and -ltmlt1 , then (a^(m)+b^(m)+c^(m))/(3)lt((a+b+c)/(3))^(m)

If cotA + "cosec"A=3 and A is an acute angle then the value of cosA is:

If AandB are acute positive angles satisfying the equations 3sin^(2)A+2sin^(2)B=1 and 3sin2A-2sin2B=0, then A+2B is equal to (a) pi (b) (pi)/(2) (c) (pi)/(4) (d) (pi)/(6)

If A,B,C are the angles off DeltaABC , then cotA*cotB+cotB*cotC+cotC*cotA =

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. For what value of alpha does the equation 4cosalpha+3cos2alpha-2sin3al...

    Text Solution

    |

  2. If (sinA+sinB+sinC)^(2)=sin^(2)A+sin^(2)B+sin^(2)C, then which one is ...

    Text Solution

    |

  3. A and B started a business after investing Rs. 12,000 and Rs. 14,400 r...

    Text Solution

    |

  4. If cos A = tan B, cos B = tan C and cos C = tan A then show that sin A...

    Text Solution

    |

  5. A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 mon...

    Text Solution

    |

  6. If acos^(3)alpha+3cosalphasin^(2)alpha=m and asin^(3)alpha+3cos^(2)alp...

    Text Solution

    |

  7. If y=acos^(2)x+2bsinxcosx+csin^(2)xandz=asin^(2)x-2bsinxcosx+c cos^(2)...

    Text Solution

    |

  8. If A+B+C=pi, then (cosA)/(sinBsinC)+(cosB)/(sinCsinA)+(cosC)/(sinAsi...

    Text Solution

    |

  9. If sinA, cosA and tanA are in G.P., then cos^(3)A+cos^(2)A=?

    Text Solution

    |

  10. If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P., then costhe...

    Text Solution

    |

  11. If A+B=C and tanA=ktanB, and A-B=phi, then sinC=?

    Text Solution

    |

  12. If tanalpha,tanbeta are the roots of x^(2)+px+q=0(pneq) then tan(alpha...

    Text Solution

    |

  13. If A+B+C=(3pi)/(2), then cos2A+cos2B+cos2C=?

    Text Solution

    |

  14. If A+B+C=pi and A, B, C are acute positive angles and cotA cotB cotC =...

    Text Solution

    |

  15. (sin(x+y))/(sin(x-y))=(a+b)/(a-b), then (tanx)/(tany)=?

    Text Solution

    |

  16. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt(3)tan""(2pi)/(5)tan""(pi)/(15)=?

    Text Solution

    |

  17. Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 ...

    Text Solution

    |

  18. cos^(2)10^(@)+cos^(2)50^(@)+cos^(2)70^(@)=?

    Text Solution

    |

  19. If A+B+C=180^(@), then tan^(2)""(A)/(2)+tan^(2)""(B)/(2)+tan^(2)""(C)/...

    Text Solution

    |

  20. (cot^(2)15^(@)-1)/(cot^(2)15^(@)+1)=?

    Text Solution

    |