Home
Class 12
MATHS
If a ,b ,c denote the lengths of the ...

If `a ,b ,c` denote the lengths of the sides of a triangle opposite to angles `A ,B ,C` respectively of a ` A B C ,` then the correct relation among `a ,b , cA ,Ba n dC` is given by `(b+c)sin((B+C)/2)=acos` b. `(b-c)cos(A/2)=asin((B-C)/2)` c. `(b-c)cos(A/2)=2asin((B-C)/2)` d. `(b-c)sin((B-C)/2)="a c o s"A/2`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC,a,b,c are the lengths of its sides and A,B,C are the angles of triangle ABC .The correct relation is given by (a) (b-c)sin((B-C)/(2))=a(cos A)/(2) (b) (b-c)cos((A)/(2))=as in(B-C)/(2)(c)(b+c)sin((B+C)/(2))=a(cos A)/(2)(d)(b-c)cos((A)/(2))=2a(sin(B+C))/(2)

(cos^(2)((B-C)/(2)))/((b+c)^(2))+(sin^(2)((B-C)/(2)))/((b-c)^(2))=(1)/(a^(2))

Let a, b, c be the sides of a triangle and let A, B, C be the respective angles. If b+c=3a, then find the value of the ratio cos((B-C)/2)/cos((B+C)/2)

If a,b,c are sides opposte to the angles A,B , C then which of the following is correct (1)(b+c)cos((A)/(2))=a sin((B+C)/(2))(2)(b+c)cos((B+C)/(2))=a sin((A)/(2))(3)(b-c)cos((B-C)/(2))=a(cos A)/(2)(4)(b-c)cos((A)/(2))=a sin((B-C)/(2))

If a,b, and c are the sides of a triangle and A,B and C are the angles opposite to a,b, and c, respectively,then a^(2)quad b sin A,c sin Ab=det[[b sin A,1,cos Ac sin A,cos A,1]]

For any triangle ABC,prove that a cos A+b cos B+c cos C=2a sin B sin C

If A+B-C=3pi, t h e n sin A+ sin B-sin C is equal to- a.4sin(A/2)sin(B/2)cos(C/2) b. -4sin(A/2)sin(B/2)cos(C/2) c. 4cos(A/2)cos(B/2)cos(C/2) d. -4cos(A/2)cos(B/2)cos(C/2)

In any triangle ABC, prove that: a cos A+b cos B+c cos C=2a sin B sin C

Let in a triangle ABC sides opposite to vertices A B&C be a, b, & c then there exists a triangle satisfying (A) tan A+tan B+tan C=0 (B) (sin A)/(2)=(sin B)/(3)=(sin C)/(7) (C) (a+b)^(2)=c^(2)+ab (D) Not possible

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of ways in which four different letters can be put in their...

    Text Solution

    |

  2. If y is a function of x and ln(x+y)-2x y=0, then the value of y^(prime...

    Text Solution

    |

  3. If a ,b ,c denote the lengths of the sides of a triangle opposite t...

    Text Solution

    |

  4. The equation of a parabola is (x + y - 2)^2 = sqrt2 (x - y) then Vert...

    Text Solution

    |

  5. If a ,b ,c are the sides of a triangle such that a : b : c=1:sqrt(...

    Text Solution

    |

  6. Let S denote the set of all polynomials p(x) of degree le 2 such that ...

    Text Solution

    |

  7. If only the 4^("th") term in the expansion of (2+(3pi)/(8))^(10) has t...

    Text Solution

    |

  8. If the angles of a triangle are in the ratio 4:1:1, then the ratio ...

    Text Solution

    |

  9. If xcosy+ycosx=pi then the value of y^(0) is equal to pi (b) -pi (c)...

    Text Solution

    |

  10. The number of ways in which letter of the word '"ARRANGE"' can be arra...

    Text Solution

    |

  11. In a A B C if b=2,c=sqrt(3) and /A=pi/6 , then value of R is equal to...

    Text Solution

    |

  12. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

    Text Solution

    |

  13. An experiment succeeds twice as often as it fails. Find the probabi...

    Text Solution

    |

  14. In a A B C if b+c=3a ,t h e ncotB/2dotcotC/2 has the value equal t...

    Text Solution

    |

  15. Number of 5 digit numbers which can be read in the same way from the l...

    Text Solution

    |

  16. Let g(x)=logf(x),w h e r ef(x) is a twice differentiable positive func...

    Text Solution

    |

  17. If in a triangle A B C ,bcos^2A/2+"a c o s"^2B/2=3/2c , then a ,c ,b a...

    Text Solution

    |

  18. Evaluate the following: (lim)(xvec1)[1/(1+x)-3/(1+x^3)]

    Text Solution

    |

  19. If vector c of magnitude 20sqrt(6) parallel to the bisector of th...

    Text Solution

    |

  20. A forecast forr Indian team is to be made of the results of five crick...

    Text Solution

    |