Home
Class 12
MATHS
C F is the internal bisector of angle C ...

`C F` is the internal bisector of angle `C` of ` A B C` , then `C F` is equal to (a) `(2a b)/(a+b)cos(C/2)` (b) `(a+b)/(2a b)cosC/2` (c) `( asinB)/(sin(B+C/2))` (d) none of these

A

(i), (ii)

B

(i), (iii)

C

(ii), (iv)

D

(iii), (iv)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise Level - 2|55 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

In Triangle A B C with fixed length of B C , the internal bisector of angle C meets the side A B a tD and the circumcircle at E . The maximum value of C D×D E is c^2 (b) (c^2)/2 (c) (c^2)/4 (d) none of these

In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a. a+b b. (c^2)/(a b) c. (a^2)/(b c) d. (b^2)/(a c)

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (2 c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

In a triangle A B C ,(r_1+r_2)/(1+cosC) is equal to (2a b)/(c"Delta") (b) ((a+b))/(c"Delta") (a b c)/(2"Delta") (d) (a b c)/("Delta"^2)

With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-B) is equal to(a) (a b c)/R^2 (b) (a b c)/(4R^2) (c) (4a b c)/(R^2) (d) (a b c)/(2R^2)

The area of a parallelogram formed by the lines a x+-b y+-c=0 is (a) (c^2)/((a b)) (b) (2c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

If f,g,h are the internal bisectors of a /_\ ABC then 1/f cos (A/2)+ 1/g cos (B/2) +1/h cos (C/2)= (A) 1/a+1/b-1/c (B) 1/a-1/b+1/c (C) 1/a+1/b+1/c (D) none of these

In a A B C ,\ A D is the bisector of the angle A meeting B C at Ddot If I is the incentre of the triangle, then A I\ : D I is equal to - (s in B+s in C):\ s in A (b) (cos B+cos C): cos A cos((B-C)/2):cos((B+C)/2) (d) sin((B-C)/2):sin((B+C)/2)

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

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

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. C F is the internal bisector of angle C of A B C , then C F is equal ...

    Text Solution

    |

  2. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  3. In a Delta ABC, among the following which one is ture ?

    Text Solution

    |

  4. The side of a triangle are in the ratio 1 : sqrt3:2, then the angles o...

    Text Solution

    |

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

    Text Solution

    |

  6. In a triangle ABC, 2 ac sin (1/2(A-B + C)) =

    Text Solution

    |

  7. In a triangle PQR, ∠R=π/2.If tan(P/2) & tan(Q/2), are the roots of the...

    Text Solution

    |

  8. If in a triangle PQR; sin P, sin Q, sin R are in A.P; then (A)the alt...

    Text Solution

    |

  9. In a DeltaABC, angleB=(pi)/(3) and angleC=(pi)/(4) let D divide BC in...

    Text Solution

    |

  10. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  11. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  12. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  13. In a triangle, the sum of two sides is x and the product of the same t...

    Text Solution

    |

  14. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  15. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  16. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  17. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  18. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  21. Internal bisector of angle A of Delta ABC meets side BC to D. A line ...

    Text Solution

    |