Home
Class 11
MATHS
If in a triangle ABC, sinA, sinB,sinC ar...

If in a triangle ABC, sinA, sinB,sinC are in A.P., then

A

the altitudes are in A.P.

B

the altitudes are in H.P.

C

the angles are in A.P.

D

the angles are in H.P

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos
  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

If in a triangle ABC, sin A, sin B, sin C are in A.P, then

If in a triangle ABC, anglesA, B,C are in A.P, sides a,b,c are In G.P., then a^2,b^2,c^2 are in

If any DeltaABC, if sinA,sinB,sinC are in A.P. and the maximum value of tan(B/2)=lambda, then 1/lambda^2 is -

if in a triangle ABC ,a^2,b^2,c^2 are in A.P. then show that cotA,cotB and cotC are also in A.P

In any triangle ABC, if a,b,c are in A.P. then tan ""A/2, tan ""B/2, tan ""C/2 are in -

If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then (a)the altitudes are in A.P. (b)the altitudes are in H.P. (c)the medians are in G.P. (d)the medians are in A.P.

In triangle ABC if the angles A,B and C be in A.P. then show that 2cos ((A-C)/2)=(a+c)/sqrt(a^2-ac+c^2)

In a triangle ABC, sinA+sinB+sinC=1+ sqrt2 and cosA+cosB+cosC= sqrt2 . The triangle is

If in a triangle ABC ,(sin A+sin B +sin C)(sinA+sinB-sin C)=3sinAsinB then angle C is equal to

In a triangle ABC, if a, b, c are in A.P. and (b)/(c) sin 2C + (c)/(b) sin 2B + (b)/(a) sin 2A + (a)/(b) sin 2B = 2 , then find the value of sin B

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. prove that cosA +cosB+cosC=1+r/R.

    Text Solution

    |

  2. The sides of a triangle are x^2+3x+3,2x+3,x^2+2x. Find the greatest a...

    Text Solution

    |

  3. If P1,P2,P3 be the altitudes of a triangle from the vertices A,B,C Res...

    Text Solution

    |

  4. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

    Text Solution

    |

  5. Let h1,h2,h3 be the altitudes of the DeltaABC and let the inradius be ...

    Text Solution

    |

  6. For any triangle ABC, find the value of (bc cos^2(A/2)+cacos^2(B/2)+a...

    Text Solution

    |

  7. If in a DeltaABC, sin^3A+sin^3B+sin^3C=3sinA.sinB.sinC,then find the v...

    Text Solution

    |

  8. AD is a median of the DeltaABC.If AE and AFare medians of the triangle...

    Text Solution

    |

  9. In a triangle DeltaXYZ, let a,b and c be the lengths of the sides opp...

    Text Solution

    |

  10. In a triangle DeltaXYZ, let a, b, and c be the length of the sides opp...

    Text Solution

    |

  11. If the angles of elevation of the top of a water from three collinear ...

    Text Solution

    |

  12. If in a triangle DeltaABC,a^2cos^2A-b^2-c^2=0, then

    Text Solution

    |

  13. In a triangle ABC,angleC=90^@, r and R are the inradius and circumra...

    Text Solution

    |

  14. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |

  15. In a DeltaABC, tanA and tanB are the roots of pq(x^2+1)=r^2x. Then Del...

    Text Solution

    |

  16. In a DeltaABC, a,b,c are the sides of the triangle opposite to the ang...

    Text Solution

    |

  17. Let PQR be a triangle of area Delta with a=2,b=7/2 and c=5/2, where a,...

    Text Solution

    |

  18. Let p,q,r be the sides opposite to the angles P,Q,R respectively in a ...

    Text Solution

    |

  19. Let p,q,r be the altitudes of a triangle with area s and perimeter 2t....

    Text Solution

    |

  20. If in a triangle ABC, sinA, sinB,sinC are in A.P., then

    Text Solution

    |