Home
Class 12
MATHS
If the angles A, B, and C of a triangle ...

If the angles A, B, and C of a triangle ABC are in AP and the sides a, b and c opposite to these angles are in GP, then `a^2, b^2 and c^2` a are related as

A

A.P.

B

H.P.

C

G.P.

D

A.G.P.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If the angles of a triangle ABC are in AP, a =2, c = 4then b is

If the angles A,B,C of a triangle are in A.P.and sides a,b,c are in G.P. ,then a2,b2,c2 are in

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

The angles A, B and C of a triangle ABC are in arithmetic progression. If 2b^(2)=3c^(2) then the angle A is :

If the angles A,B,C of Delta ABC are in A.P. And its sides a,b,c are in G.P., then a^(2), b^(2), c^(2) are in

Angles A,B and C of a triangle ABC are in AP.If (b)/(c)=sqrt((3)/(2)) then angle A is

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. In DeltaABC,(cos.(1)/(2)(B-C))/(sin.(1)/(2)A)=

    Text Solution

    |

  2. If the sides of a triangle are 6 cm, 10 cm and 14 cm, then what is the...

    Text Solution

    |

  3. If the angles A, B, and C of a triangle ABC are in AP and the sides a,...

    Text Solution

    |

  4. If the angles of a triangle ABC are in A.P., then

    Text Solution

    |

  5. In DeltaABC,(cosA)/(a)+(cosB)/(b)+(cosC)/(c)=

    Text Solution

    |

  6. The ratio of the sides of a triangle ABC is 1: sqrt3: 2. The ratio A: ...

    Text Solution

    |

  7. In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2)=

    Text Solution

    |

  8. If in triangle ABC, cosA=(sinB)/(2sinC), then the triangle is

    Text Solution

    |

  9. The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha...

    Text Solution

    |

  10. In DeltaABC,1-tan.(A)/(2)tan.(B)/(2)=

    Text Solution

    |

  11. In DeltaABC,"if "2s=a+b+c, then the value of (s(s-a))/(bc)-((s-b)(s-c)...

    Text Solution

    |

  12. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

    Text Solution

    |

  13. If in a triangle ABC, (s-a)(s-b)= s(s-c), then angle C is equal to

    Text Solution

    |

  14. In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)...

    Text Solution

    |

  15. In !ABC , if sin^(2)A/2,sin^(2)B/2,sin^(2)C/2 be in H.P., then a , b ,...

    Text Solution

    |

  16. If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...

    Text Solution

    |

  17. if the sides of a triangle are in the ratio 2:sqrt6 : sqrt3 + 1, then ...

    Text Solution

    |

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

    Text Solution

    |

  19. If sin^(-1) x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then

    Text Solution

    |

  20. The value of cot(c o s e c^(- 1)5/3+tan^(- 1)(2/3))i s

    Text Solution

    |