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

A

A.P.

B

H.P.

C

G.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If the angle A,B,C of a Delta ABC are in A.P then :-

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

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a ,\ b ,\ c are in G.P. prove that loga ,\ logb ,\ logc are in A.P.

If a,b and c are in G.P., prove that log a, log b and log c are in A.P.

If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+1/c=2/b

If a,b,c are in A.P. prove that b+c,c+a,a+b are also in A.P.

If the angles of the triangle are in A.P. and 3a^(2)=2b^(2) , then angle C ,is

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c,then the triangle is

    Text Solution

    |

  2. If in a triangle ABC, triangle = a^(2) - (b-c)^(2), then tanA is equal...

    Text Solution

    |

  3. If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in ...

    Text Solution

    |

  4. In a triangle, the lengths of the two larger sides are 10 and 9, res...

    Text Solution

    |

  5. There exist a triangle ABC satisfying

    Text Solution

    |

  6. In a triangle, the length of two larger sides are 24 and 22 respective...

    Text Solution

    |

  7. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

    Text Solution

    |

  8. If twice the square of the diameter of the circle is equal to half the...

    Text Solution

    |

  9. In triangle ABC, angle A is greater than angle B. If the measure of an...

    Text Solution

    |

  10. (2cosA)/(a) + (cosB)/b + (2cosC)/c=a/(ac) + b/(ca), then the values of...

    Text Solution

    |

  11. If Agt0,Bgt0and A+B=(pi)/(6), then the minimum value of tan A+tanB, is

    Text Solution

    |

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

    Text Solution

    |

  13. If sin beta is the GM between sin alpha and cos alpha, then cos 2beta...

    Text Solution

    |

  14. If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

    Text Solution

    |

  15. If in a triangleABC , (sinA+sinB+sinC)(sinA+sinB-sinC)=3sinAsinB the...

    Text Solution

    |

  16. In a Delta ABC, sin A + sin B + sin C = 1 + sqrt(2) and cos A+cos B+co...

    Text Solution

    |

  17. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

    Text Solution

    |

  18. In a triangle ABC , if 3a = b + c , then cot B/2 cot C/2 =

    Text Solution

    |

  19. If A+ B+ C=pi, nin Z,then tan nA+ tan +nB +tan nC is equal to

    Text Solution

    |

  20. If A,B,C are angles of a triangle ,then the minimum value of tan^(2)(A...

    Text Solution

    |