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

If in a triangle `A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2,` then the sides `a ,b ,a n dc` `` are in A.P. b. are in G.P. c. are in H.P. d. satisfy `a+b=cdot`

A

A.P.

B

G.P.

C

H.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 Exercise|97 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

In DeltaABC, acos^(2)C/2+ccos^(2)A/2=(3b)/(2) , then prove that the sides of DeltaABC , are in A.P.

If in a triangle A B C ,bcos^2A/2+"a c o s"^2B/2=3/2c , then a ,c ,b are: in A.P. b. in G.P. c. in H.P. d. none of these

If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

In a triangle A B C , if cos A+2\ cos B+cos C=2. prove that the sides of the triangle are in A.P.

In a Delta ABC, c cos^2 A/2+a cos^2C/2=(3b)/(2) then show a,b,c are in A.P

If acos^2(C/2)+c cos^2(A/2)=(3b)/2 . To prove: cot(A/2),cot(B/2),cot(C/2) are in A.P.

In triangleABC if 2c cos^2(A/2)+2acos^2(C/2)-3b=0 prove that a, b, c are in A.P.

If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a ,b ,a n dc are in A.P. (C). b=a+c (D). 3a=b+c

If a , b , c ,d and p are distinct real numbers such that (1987, 2M) (a^2+b^2+c^2)p^2-2(a b+b c+c d)P+(b^2+c^2+d^2)geq0,t h e na , b , c , d are in AP (b) are in GP are in HP (d) satisfy a b=c d

If cos A+cos B+2cos C=2 then the sides of the A B C are in (a)A.P. (b) G.P. (c) H.P. (d) none

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

    Text Solution

    |

  2. Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...

    Text Solution

    |

  3. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  4. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

    Text Solution

    |

  5. In a triangleABC, if a,c,b are in A.P. then the value of (a cos B-b co...

    Text Solution

    |

  6. If a DeltaABC is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  7. The angle of a right-angled triangle are in AP. Then , find the ratio ...

    Text Solution

    |

  8. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

    Text Solution

    |

  9. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

    Text Solution

    |

  10. In a triangleABC"if c"=(a+b) sin theta and cos theta=(ksqrtab)/(a+b),"...

    Text Solution

    |

  11. In triangleABC," if"(s-a)/(Delta)=1/8, (s-b)/(Delta)=1/12 and (s-c)/(D...

    Text Solution

    |

  12. In a triangle ABC if 2a=sqrt(3)b+c, then possible relation is

    Text Solution

    |

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

    Text Solution

    |

  14. The sides of a right angled triangle are in A.P., then they are in the...

    Text Solution

    |

  15. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

    Text Solution

    |

  16. In a triangleABC," if "B=90^(@), then the value of tan""A/2 in terms o...

    Text Solution

    |

  17. In a DeltaABC ,a =5 , b= 4 , and tan(C/2)=sqrt(7/9), then c =

    Text Solution

    |

  18. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

    Text Solution

    |

  19. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  20. Show that (r(1))/(bc)+(r(2))/(ca)+ (r(3))/(ab)=2R-r

    Text Solution

    |