Home
Class 12
MATHS
Let ABC be a triangle such that AB = 15 ...

Let ABC be a triangle such that AB = 15 and AC = 9. The bisector of `angleBAC` meets BC in D. If `angleACB = 2angleABC`, then BD is

A

8

B

9

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2020

    KVPY PREVIOUS YEAR|Exercise PART-II(MATHEMATICS)|10 Videos

  • QUESTION PAPER 2020

    KVPY PREVIOUS YEAR|Exercise PART-II : MATHEMATICS|7 Videos

  • QUESTION PAPER 2013

    KVPY PREVIOUS YEAR|Exercise PART-II ( MATHEMATICS)|10 Videos

  • SOLVED PAPER 2018

    KVPY PREVIOUS YEAR|Exercise EXAMPLE|27 Videos

Similar Questions

Explore conceptually related problems

ABC is a right triangle with AB = AC.If bisector of angle A meet BC at D then prove that BC =2 AD .

In ABC, the bisector of /_A intersects BC in D. If AB=18cm,AC=15cm and BC=22cm, find BD

Given a triangle ABC with AB=2 and AC=1. Internal bisector of /_BAC intersects BC at D. If AD=BD and Delta is the area of triangle ABC, then find the value of 12Delta^(2).

The side BC of a triangle ABC is produced to D, bisector of the angle ABC and ACD meet at P. If angleBPC =x^(@) and angleBAC = y^(@) , then which one of the following is correct ?

In triangle ABC , AB=7 cm, BC = 10 cm, and AC = 8 cm. If AD is the angle bisector of angle BAC , where D is a point on BC, then BD is equal to:

In triangle ABC, AD botBC and AO is the bisector of angleBAC. If angleABC=65^@ and angleACB= 23(1^@)/2 , then angleDAO is ____ (in degrees)

In the triangle ABC , angleBAC=50^@ and the bisectors of angleABC and angleACB meets at P what is the value of angleBPC ?

Let ABC be a triangle with angleB=90^(@) . Let AD be the bisector of angleA with D on BC. Supose AC = 6 cm and the area of the triangle ADC is 10 cm^(2) . Then the length of BD in cm is equal to

KVPY PREVIOUS YEAR-QUESTION PAPER 2020-PART-I (MATHEMATICS)
  1. Consider the following statements : I. lim(n to oo) ( 2^n +(-2)^n)/...

    Text Solution

    |

  2. Consider a regular 10-gon with its vertices on the unit circle. With o...

    Text Solution

    |

  3. The value of the integral int(-pi//2)^(pi//2)(sin^(2)x)/(1+e^(x))dx ...

    Text Solution

    |

  4. Let RR be the set of all real numbers and f(x) = sin^(10) x ( cos^...

    Text Solution

    |

  5. A person standing on the top of a building of height 60sqrt(3) feel ob...

    Text Solution

    |

  6. Assume that 3.313 le pi le 3.15. The integer closest to the value of s...

    Text Solution

    |

  7. The maximum value of the function ƒ(x) = e^x + x ln x on the interval ...

    Text Solution

    |

  8. Let A be a 2 xx 2 matrix of the form A = [[a,b],[1,1]], where a, b are...

    Text Solution

    |

  9. Let A = (a(ij))(1 le I, j le 3) be a 3 xx 3 invertible matrix where ea...

    Text Solution

    |

  10. Let x, y be real numbers such that x gt 2y gt 0 and 2log (x-2y) = lo...

    Text Solution

    |

  11. Let (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1(b lt a). Be an ellipse with ...

    Text Solution

    |

  12. Let A denote the set of all real numbers x such that x^(3) - [x]^(3) =...

    Text Solution

    |

  13. S= lim(nrarroo) sum(k=0)^n 1/sqrt(n^2 + k ^2)

    Text Solution

    |

  14. Let RR be the set of all real numbers and ƒ : RR to RR be a contin...

    Text Solution

    |

  15. Let f(x) = {{:((x)/(sin x) ",",x in "(0,1)"),(1",",x=0):} Consider...

    Text Solution

    |

  16. The value of the integral int(1)^(3)((x-2)^(4)sin^(3)(x-2)+(x-2)^(20...

    Text Solution

    |

  17. In a regular 15-sided polygon with all its diagonals drawn, a diagonal...

    Text Solution

    |

  18. Let M = 2^(30)-2^(15)+1, and M^(2) be expressed in base 2. The number ...

    Text Solution

    |

  19. Let ABC be a triangle such that AB = 15 and AC = 9. The bisector of an...

    Text Solution

    |

  20. The figur in the complex plane given by 10zbar(z) - 3(z^(2)+bar(z)^(...

    Text Solution

    |