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`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

    Text Solution

    |

  2. The value of cos^(-1)(cos 12)-sin^(-1)(sin14) is -2 b. 8pi-26 c. 4pi+2...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate the following: lim(xrarr0)(sin^2 3x sin5x)/(tan^2 5x tan (x/2...

    Text Solution

    |

  5. Range of the function f(x)=tan^(-1)sqrt([x]+[-x])+sqrt(2-|x|)+1/(x^...

    Text Solution

    |

  6. 4 people are selected randomly out of six married couple. Find the ...

    Text Solution

    |

  7. Evaluate the following: lim(xrarr0)(sqrt(a+x)-sqrt(a-x))/x

    Text Solution

    |

  8. If cos^(-1)((n)/(2pi))lt(2pi)/(3) then maximum and minimum values of i...

    Text Solution

    |

  9. If omega be a complex cube root of unity, then the number (1-omega-om...

    Text Solution

    |

  10. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  11. Evaluate the following: (lim)(x -> -2)(3x^2+2x-8)/(x^3+8)

    Text Solution

    |

  12. If z and bar z represent adjacent vertices of a regular polygon of n s...

    Text Solution

    |

  13. The algebraic sum of deviations of 10 observations measured from 15 is...

    Text Solution

    |

  14. If the letters of the word ''REGULATIONS'' be arranged at random, fin...

    Text Solution

    |

  15. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

    Text Solution

    |

  16. Evaluate the following: lim(xrarr2)(x^2-4)/(sqrt(3x-2)-sqrt(6-x))

    Text Solution

    |

  17. Let f:[-(pi)/(3), (2pi)/(3)] to [0,4] be a function defined as f(x)=sq...

    Text Solution

    |

  18. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

    Text Solution

    |

  19. Evaluate: ("lim")(xvec0)(s nx^0)/x

    Text Solution

    |

  20. If mean of squares of deviations of a set of n observations about -2a ...

    Text Solution

    |