Home
Class 11
MATHS
If angles A, B and C are in AP, then (a ...

If angles A, B and C are in AP, then `(a + c)/b` is equal to

A

`2"sin"(A-C)/(2)`

B

`2"cos"(A-C)/(2)`

C

`"cos"(A-C)/(2)`

D

`"sin"(A-C)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL-II) (More than one correct answer Type Questions)|4 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL-II) (Linked Comprehension Type Questions)|3 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL-I) (Straight- Objective Type Questions)|55 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

if a, b,c are in A.P. then b =

If angles A,B,C are in A.P . , then 2cos (( A-C)/( 2))=

If a, b, c, d, e, f are in A.P then e-c=

The angles A, B and C are in A.P. in a DeltaABC . If AB = 6, BC = 7 then AC =

If in a Delta ABC, a, b, c are in A.P . Then cos ((A- C)/( 2)) is equal to

If in DeltABC sides a,b,c are in A.P then

If b + c, c + a , a + b are in A.P then a , b , c are in

If a,b,c are in AP then 2b = ………….

If a,b,c are in AP then b-a = …………..

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-I) (LEVEL-II) (Straight- Objective Type Questions)
  1. In a triangle ABc if a=100= c=100 sqrt(2) and A=30^(@) then the angle ...

    Text Solution

    |

  2. In triangle ABC are in A.P and b:c= sqrt(3): sqrt(2), then

    Text Solution

    |

  3. If angles A, B and C are in AP, then (a + c)/b is equal to

    Text Solution

    |

  4. In DeltABC if, |{:(1,b,c),(1,c,a),(1,b,c):}|=0 then sin^(2)A+sin^(2) C...

    Text Solution

    |

  5. Equilateral triangle DEF is inscribed in equilateral triangle ABC as s...

    Text Solution

    |

  6. In triangle ABC, angle B = pi//3. " and " angle C = pi//4 . Let D div...

    Text Solution

    |

  7. In a triangle lfloor=55^(0), lfloorB=15^(0), lfloorC=110^(0) and (c^(2...

    Text Solution

    |

  8. In DeltaABC, if cosA+sinA -(2)/(cosB+sinB)=0, then the value of ((a+b)...

    Text Solution

    |

  9. In a triangle ABC if cos A.cos B.cos C=(sqrt(3)-1)/(8), sin A sinB sin...

    Text Solution

    |

  10. If sides of a triangles are in the ratio x: y : sqrt( x^(2) +xy + y...

    Text Solution

    |

  11. If two sides of a triangle are the roots of the equation 4x^2-(2sqrt6)...

    Text Solution

    |

  12. If the sides of trinangles are x^(2) + x+ 1,2 x + 1 , x^(-2) -1 wher...

    Text Solution

    |

  13. The straight roads intersect at angle of 60^@. A bus on one road is 2k...

    Text Solution

    |

  14. In DeltaABC, a^(2)+b^(2)+c^(2)=ac+ab sqrt(3). Then the triangle is

    Text Solution

    |

  15. The lengths of the two larger sides of a triangle are 10 and 9. If the...

    Text Solution

    |

  16. The roots of x^(2) - 2 sqrt 3 x+ 2=0 represent two sides of a tria...

    Text Solution

    |

  17. In triangle ABC, a=5,b=4, and cos(A+B)=(31)/(32). In this triangle c=

    Text Solution

    |

  18. If one angle of a triangle is 30^(@) and the lengths of the sides adja...

    Text Solution

    |

  19. In Delta ABC, if (2 cos A)/a+ (cos B)/b+ (2 cos C)/c=a/(bc)+b/(ca), th...

    Text Solution

    |

  20. In DeltaABC, if (b+c-a)/(4)=(c+a-b)/(3)=(a+b-c)/(2), then CosA=

    Text Solution

    |