Home
Class 11
MATHS
In Delta ABC, if the sides a,b,c are in ...

In `Delta ABC`, if the sides a,b,c are in geometric progression and the largest angle exceeds the smallest angle by `60^@`, then `cos B` .

A

`(sqrt(13)+1)/(4)`

B

`(1-sqrt(13))/(4)`

C

1

D

`(sqrt(13)-1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - III (Straight Objective Type Question)|62 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (Straight Objective Type Question)|38 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Matrix Matching Type Questions)|5 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 the sides a, b, c of a triangle are in G..P. and largest angle exceeds the smallest by 60^(@) , then cos B =

If the sides of a triangle are in A.P and greatest angle exceeds the least angle of the triangle by 90^(@) . Then ratio of the sides .

In triangle ABC if a,b and c are in arithmetic progression then cos A + 2cosB + cosC=

If the lengths of the sides of triangle are 3, 5, and 7, then the largest angle of the triangle is

In Delta ABC, if a,b,c are in A.P the greatest angle is A and least is C then 4(1-cos A)(1- cos C) =

In Delta ABC,a(b cos C-c cos B)=

In a Delta ABC , if the angle C is obtuse, then tan A ta B =

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - II(Linked comprehension Type Questions)
  1. Let OAB be a quadrant of a circle with boundary radii OA = 1, OB = 1 ...

    Text Solution

    |

  2. Let OAB be a quadrant of a circle with boundary radii OA = 1, OB = 1 ...

    Text Solution

    |

  3. Let OAB be a quadrant of a circle with boundary radii OA = 1, OB = 1 ...

    Text Solution

    |

  4. In DeltaABC, a=6,b=4 and cos (A-B)=4//5 then its area is

    Text Solution

    |

  5. In Delta ABC, if a = 6, b=3 and cos (A-B) = (4)/(5) " then " ang...

    Text Solution

    |

  6. Let a = 6, b = 3 , " and " cos (A - B) = 4/5 Value of sin A is equa...

    Text Solution

    |

  7. Let ABC be a triangle with integer sides a,b,c and angle C = 90^(@) ...

    Text Solution

    |

  8. Let ABC be a triangle with integer sides a,b,c and angle C = 90^(@) ...

    Text Solution

    |

  9. Let ABC be a triangle with integer sides a,b,c and angle C = 90^(@) ...

    Text Solution

    |

  10. If the angles of a triangle are in AP and the least angle is 30^(@) . ...

    Text Solution

    |

  11. In Delta ABC , If tan A , tan B , tan C are in H.P., then a^(2) , b^(...

    Text Solution

    |

  12. In Delta ABC , if Tan . A/2 = 5/6 " and " Tan. B/2 = 20/37 then the s...

    Text Solution

    |

  13. In Delta ABC, If a, b,c are in A.P., then Cot . A/2 ,Cot. B/2 , Cot . ...

    Text Solution

    |

  14. In Delta ABC, If a , b, c are in A.P. then Cot. A/2 Cot. C/2 =

    Text Solution

    |

  15. In a Delta ABC , " If " Cosec^(2) . A/2 , Cosec^(2). C/2 , Cosec^(2). ...

    Text Solution

    |

  16. In DeltaABC, if a"Cos"^(2)(C)/(2)+c"Cos"^(2)(A)/(2)=(3b)/(2) , then a,...

    Text Solution

    |

  17. In DeltaABC, if a,b, c are in A.P then (2"Sin"(A)/(2)"Sin"(C)/(2))/("S...

    Text Solution

    |

  18. In Delta ABC, if the sides a,b,c are in geometric progression and the ...

    Text Solution

    |