Home
Class 12
MATHS
If in a triangle ABC, CD is the angular ...

If in a triangle `ABC, CD` is the angular bisector of the angle ACB then CD is equal to

A

`(a+b)/(2ab) cos "" C/2`

B

`(a+b)/(ab ) cos "" C/2`

C

`(2ab)/(a +b) cos ""C/2`

D

`(b sin A)/(sin (B + (C )/(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE)|34 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If in a !ABC ,CD is the bisector of angleACB, then CD =

In a Delta ABC, CD is the angle bisector of interior angle C . Which meets AB at D . M is a point on CD such that AD=AM. IF angle B=59^(@) find angle MAC .

ABC is equilateral triangle and CD is the internal bisector of angle C . If DC is produced to E such that AC= CE , then angle CAE is equal to

In a Delta ABC,AD is the bisector of the angle A meeting BC at D.If I is the in centre of the triangle,then AI:DI is equal to

In a triangle ABC, the angle bisector BD of angleB intersects AC in D. Suppose BC=2, CD=1 and BD=(3)/(sqrt(2)) . The perimeter of the triangle ABC is

FIITJEE-MATHEMATICS -MCQ (MULTIPLE CORRECT)
  1. A circle of radius r,r ne 0 touches the parabola y ^(2) + 12 x =0 at t...

    Text Solution

    |

  2. The equation of AB,BC, AC three sides of a triangle are -x + y -1 =0, ...

    Text Solution

    |

  3. If (a, 0) is a point on a diameter of the circle x^(2)+y6(2)=4, then t...

    Text Solution

    |

  4. The equation(s) of the tangent at the point (0,0) to the circle, makin...

    Text Solution

    |

  5. A tangent is drawn at any point (l,m) l, m ne 0 on the parabola y ^(2)...

    Text Solution

    |

  6. a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One ...

    Text Solution

    |

  7. If sqrt(1- sin A)= sin "" A/2 - cos "" A/2 could lie in quadrant

    Text Solution

    |

  8. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then x=pi/4 (b) y=0 y=1 ...

    Text Solution

    |

  9. If sin(picostheta)=cos(pis intheta),t h e ns in2theta= +-3/4 (b) +-4...

    Text Solution

    |

  10. AB and CD are two equal and parallel chords of the ellipse (x ^(2))/(a...

    Text Solution

    |

  11. In a triangle with sides, a,b, and c a semicircle toughing the sides A...

    Text Solution

    |

  12. In Delta ABC, sec A, sec B, sec C are in harmonic progression, then

    Text Solution

    |

  13. If in a triangle ABC, b cos ^(2) "" A/2 + a cos ^(2) "" B/2 = (3c)/(2)...

    Text Solution

    |

  14. If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, s...

    Text Solution

    |

  15. If in a triangle ABC, CD is the angular bisector of the angle ACB then...

    Text Solution

    |

  16. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

    Text Solution

    |

  17. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

    Text Solution

    |

  18. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

    Text Solution

    |

  19. If a,b,c are the sides of triangle then (a)/(c +a -b) + (b)/(a +b -c) ...

    Text Solution

    |

  20. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

    Text Solution

    |