Home
Class 12
MATHS
Consider a triangle ABC with vertex A(2,...

Consider a triangle ABC with vertex `A(2, -4)`. The internal bisectors of the angle B and C are `x+y=2` and`x- 3y = 6` respectively. Let the two bisectors meet at `I`.if (a, b) is incentre of the triangle ABC then `(a + b)` has the value equal to

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Consider a triangle ABC with vertex A(2, -4) . The internal bisectors of the angle B and C are x+y=2 and x- 3y = 6 respectively. Let the two bisectors meet at I . If (x_(1), y_(1)) and (x_(2), y_(2)) are the co-ordinates of the point B and C respectively, then the value of (x_(1)x_(2)+y_(1)y_(2)) is equal to :

External angle bisectors of angle B and angle c are y=x and y=-2x respectively.If the vertex A is (1,3), then co-ordinates of incentre of Delta ABC is -

ABC is a triangle in which /_A=72^(0), the internal bisectors of angles B and C meet in O. Find the magnitude of /_BOC.

ABC is a triangle in which /_A=72^(0), the internal bisectors of angles B and C meet in O.Find the magnitude of /_BOC

In a triangle ABC.if A(1,2) and the internal angle bisetors through B and C are y=x and y=-2x, then the in radius r of Delta ABC is :

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

RESONANCE-DPP-QUESTION
  1. Solve sqrt(5-x) gt x + 1

    Text Solution

    |

  2. Draw the graph of y = |-ln|-x||

    Text Solution

    |

  3. Consider a triangle ABC with vertex A(2, -4). The internal bisectors o...

    Text Solution

    |

  4. Consider a triangle ABC with vertex A(2, -4). The internal bisectors o...

    Text Solution

    |

  5. Consider a triangle ABC with vertex A(2, -4). The internal bisectors o...

    Text Solution

    |

  6. Chords of the curve 4x^(2) + y^(2)- x + 4y = 0 which substand a right ...

    Text Solution

    |

  7. The co-ordinates of a point P on the line 2x - y + 5 = 0 such that |PA...

    Text Solution

    |

  8. Number of quadrilaterals which can be constructed by joining the verti...

    Text Solution

    |

  9. Different words are formed by arranging the letters of the word SUC CE...

    Text Solution

    |

  10. If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of ...

    Text Solution

    |

  11. The base B C of a A B C is bisected at the point (p ,q) & the equatio...

    Text Solution

    |

  12. Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, wh...

    Text Solution

    |

  13. If the sum of digits of the number N = 2000^11 -2011 is S, then

    Text Solution

    |

  14. All the natural numbers, sum of whose digits is 8 are arranged in asce...

    Text Solution

    |

  15. If the lines L1:2x-3y-6=0,L2: x+y-4=0 and L3: x+2 and tanA ,tanB and t...

    Text Solution

    |

  16. The area of a triangle is 3/2 square units. Two of its vertices are th...

    Text Solution

    |

  17. Find the sum of the series (2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)...

    Text Solution

    |

  18. Consider the general equation of second degree ax^(2) + by^(2) + 2hxy ...

    Text Solution

    |

  19. The number of integral solutions of the inequation x+y+z le 100, (x ge...

    Text Solution

    |

  20. Find number of othe ways in which word 'KOLAVARI' can be arranged, if ...

    Text Solution

    |