Home
Class 12
MATHS
If in a triangle ABC, acos^(2).(C)/(2)+c...

If in a triangle ABC, `acos^(2).(C)/(2)+c cos^(2).(A)/(2)=(3b)/(2)`, then the sides a, b, c :

A

are in G.P.

B

are in H.P.

C

satisfy a+b=c

D

are in A.P.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

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

In a triangle ABC, 2casin.(A-B+C)/(2)=

In a triangle ABC, a[b cos C - c cos B] =

In a triangle ABC, a[b cos C - c cos B]=

In a triangle A B C, hat(A)=(pi)/(2) then cos ^(2) B+cos ^(2) C=

In a triangle ABC, if (cos A)/(a) = (cos B)/(b)= (cos C)/(c ) and a=2 then its area is

In a triangle ABC, 2acsin.(1)/(2)(A-B+C) is equal to :

In a triangle ABC , 2acsin.(1)/(2)(A-B+C) is equal to :

If any triangle A B C sin ^(2) A+sin ^(2) B-sin ^(2) C=

In a triangle ABC, (a+b+c)(b+c-a)=lambdabc if :

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If in a triangle A B C, a=5, b=4, A=(pi)/(2)+B, then the value of C is

    Text Solution

    |

  2. If the sides of a triangle are x^(2)+x+1, x^(2)-1 and 2 x+1 then the l...

    Text Solution

    |

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

    Text Solution

    |

  4. In a triangle A B C, if cot A, cot B, cot C are in A.P, then a^(2), b^...

    Text Solution

    |

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

    Text Solution

    |

  6. In a triangle A B C, hat(A)=(pi)/(2) then cos ^(2) B+cos ^(2) C=

    Text Solution

    |

  7. In a triangle ABC, a=4, b=3, /A=60^(@), then c is the root of the equa...

    Text Solution

    |

  8. In a DeltaABC, if a+b=3c, then the value of cot.(A)/(2)cot.(B)/(2) is

    Text Solution

    |

  9. If a cosA=b cos B then prove that Delta ABC is either isosceles or rig...

    Text Solution

    |

  10. In a triangle A B C, a=2 x, b=2 y and hat(C)=120^(circ) then the area ...

    Text Solution

    |

  11. If tan (B-C)/(2)=x cot (A)/(2) then x=

    Text Solution

    |

  12. If in two cirlces arcs of the same length subtend angles 60^(@) and 75...

    Text Solution

    |

  13. The minimum value of 3 tan ^(2) theta+12 cot ^(2) theta is

    Text Solution

    |

  14. Maximum value of sin ^(8) x+cos ^(16) x is

    Text Solution

    |

  15. The minimum value of sin theta . cos theta is

    Text Solution

    |

  16. If cos x+cos y+cos alpha=0 and sin x+sin y+sin alpha=0, then cot ((x+y...

    Text Solution

    |

  17. If alpha+beta+gamma=2 pi, then

    Text Solution

    |

  18. If tan theta+sec theta=sqrt(3), 0 lt theta lt pi, then theta is equal ...

    Text Solution

    |

  19. If tan 25^(circ)=x, then (tan 155^(circ)-tan 115^(circ))/(1+tan 155^(c...

    Text Solution

    |

  20. If x + y + z = pi,tanx tany = 2tanx + tany + tanz = 6, thenz equals :

    Text Solution

    |