Home
Class 11
MATHS
The vertices of a triangle are A(-1,-7),...

The vertices of a triangle are `A(-1,-7),B(5,1)a n dC(1,4)dot` If the internal angle bisector of `/_B` meets the side `A C` in `D ,` then find the length `A Ddot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4) . The equation of the bisector of the angle angleABC is

Three vertices of triangle ABC are A (3 , 2 , -1) B ( - 1 , -1 , -1) and C ( 1, 5, 5) , if the internal bisector of angleBAC meets the opposite side overline(BC) at D , then find the coordinates of D .

In triangle ABC,angleC=(2pi)/3 and CD is the internal angle bisector of angleC meeting the side AB at D. If Length CD is equal to

A(1,3,0),B(2,2,1) and C(5,-1,4) are the vertices of the triangle ABC, if the bisector of /_BAC meets its side bar(BC) at D, then find the coordinates of D.

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

The midpoints of the sides of a triangle are (1,5,-1), (0,4,-2) & (2,3,4). Find its vertices

The vertices of a triangle ABC are (2,-5) , (1 ,-2) and (4,7) respectively . Find the coordinates of the point where the internal bisector of angleABC cuts AC .

Find the area of triangle whose vertices are :A(1,0),B(7,1),C(0,3)

Find the area of triangle whose vertices are :A(7,-1),B(0,3),C(1,0)

Given three points are A(-3,-2,0),B(3,-3,1)a n dC(5,0,2)dot Then find a vector having the same direction as that of vec A B and magnitude equal to | vec A C|dot

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

    Text Solution

    |

  2. If y=ae^(mx)+be^(-mx), then (d^2y)/dx^2-m^2y is equals to (a)....

    Text Solution

    |

  3. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |

  4. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

    Text Solution

    |

  5. Consider the triangle whose vetices are (0,0) , (5,12) and (16,12).

    Text Solution

    |

  6. A Point A divides the join of P(-5,1) and Q(3.5) in the ratio k:1. The...

    Text Solution

    |

  7. Find the equation of the circle having center at (2,3) and which tou...

    Text Solution

    |

  8. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |

  9. Find the equation of the circle with radius 5 whose center lies on the...

    Text Solution

    |

  10. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  11. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

    Text Solution

    |

  12. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  13. Find the equation of the circle having radius 5 and which touches line...

    Text Solution

    |

  14. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

    Text Solution

    |

  15. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  16. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  17. Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line...

    Text Solution

    |

  18. Find the length of the tangent drawn from any point on the circle x^2+...

    Text Solution

    |

  19. Find the locus of a point which moves so that the ratio of the lengths...

    Text Solution

    |

  20. The tangent at any point P on the circle x^2+y^2=4 meets the coordinat...

    Text Solution

    |