Home
Class 12
MATHS
If A (1,0,-1), B (-2,4,-2) and C(1,5,10)...

If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle and the bisector of the angle BAC, meets BC at D, then find the coordinates of the point D.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (0,-4) and (6,0).If the medians meet at the point (2,0), find the coordinates of the third vertex.

If the points P(2,-1,1),Q(1,-3 c)and R(3,-4,-4) are the vertices of a right triangle PQR, then find c if any.

In a triangle one of the vertices is at (2,5) and the centroid of the triangle is at (-1,1). Find the coordinates of the midpoint of the side opposite to the given angular point.

If A, B, C are the points (1, 4, 2), (-2,1,2) and (2,-3,4) respectively then find the angles of the triangle ABC.

A plane meets the coordinate axes at A, B and C respectivély. If the centroid of the triangle ABC is (-1, 2, 5) then find the equation of the plane.

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(8,6,1), B(2,0,1), C(-4,0,-5)

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(4,5,5), B(3,3,3), C(1,2,5)

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the equation of the plane passing through the line (x-8)/3=(y+19)...

    Text Solution

    |

  2. Prove that the sum of the vectors directed from the vertices to the mi...

    Text Solution

    |

  3. If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle...

    Text Solution

    |

  4. Find the image of the point (3,-2,1) in the plane x-y+3z=2.

    Text Solution

    |

  5. Prove the following by vector method. The diagonals of a rhombus are a...

    Text Solution

    |

  6. Prove that intdx/((x-1)^2(x+2))=1/9ln abs((x+2)/(x-1))-1/(3(x-1))+c

    Text Solution

    |

  7. int0^pi((xtanx)/(secx+tanx))dx

    Text Solution

    |

  8. Solve: (1+x^2)dy/dx+2xy-x^3=0

    Text Solution

    |

  9. Find (dy)/(dx) if x=(3at)/(1+t^3), y=(3at^2)/(1+t^3) at t=1/2

    Text Solution

    |

  10. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

    Text Solution

    |

  11. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

    Text Solution

    |

  12. If A=[(0,1,0),(-1,0,2),(0,0,1)], then show that A^3-A^2+I3=[(2,-1,0),(...

    Text Solution

    |

  13. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |

  14. Solve the following LPP graphically: Maximize: Z=4x1+3x2 subject to x1...

    Text Solution

    |

  15. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

    Text Solution

    |

  16. A line makes angles alpha, beta, gamma, delta with the four main diago...

    Text Solution

    |

  17. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  18. The equation of a plane passing through (1, 1, 2) and parallel to x + ...

    Text Solution

    |

  19. What is the value of int0^100[tan^(-1)x]dx ?

    Text Solution

    |

  20. What is the trigonometric function f(x) such that f''(x)+f(x)=0?

    Text Solution

    |