Home
Class 11
MATHS
If the origin is the centroid of the tri...

If the origin is the centroid of the triangle PQR with vertices P(2a, 2,6), Q(-4,3b,-10) & R(8,14,2c) then find the values of a, b & c

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

Similar Questions

Explore conceptually related problems

If the origin is the centroid of the triangle PQR with vertices P(2a,2,6) Q(-4,3b,-10) and R(8,14,2c) then find the values of a ,b and c

If (2 , -3 , 1) is the centroid of the triangle ABC with vertices A (-3 , p , 2) , B (2 , -4 , q) and C (r , 3 , 5) , find the values of p , q , r .

Find the centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2).

Find the co-ordinate of the orthocentre of a triangle whose vertices are A(-2,-3),B(6,1)and C(1,6).

Using integration find the area of the triangle whose vertices are A(-4,3) ,B ( 3,4) and C( 8,6)

Find the area of triangle whose vertices are :A(0,5),B(-2,3),C(1,-4)

Using integration find the area of the triangle whose vertices are A (1,0) ,B( 2,2) and C (3,1)

Using integration,find the area of Delta PQR whose vertices are P (2,1) ,Q (3,4) and R( 5,2)

If a/2 = b/3 = c/4 = (2a - 3b + 4c)/p , then find the value of P .

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

PATHFINDER-3D-GEOMETRY-QUESTION BANK
  1. Find the locus of a moving point whose distance from the point(1,-1,2)...

    Text Solution

    |

  2. Find the ratio in which the line joining the pts (-3,4,8) and (5,-6,4)...

    Text Solution

    |

  3. Prove that the triangle formed by joining the three points whose co-or...

    Text Solution

    |

  4. A,B,C are three points on the axes of x, y and z respectively at dist...

    Text Solution

    |

  5. Find the locus of a point P such that3bar(PA^2)=2bar(PB^2)where A(1,1,...

    Text Solution

    |

  6. Find the possible octants where the point (x,y,z)may lie for z-y=0

    Text Solution

    |

  7. Find the octants which contain the point (x,y,z) satisfying xygt0

    Text Solution

    |

  8. Give the interpretation of the following equation x=0,y=0

    Text Solution

    |

  9. Give the interpretation of the following equation y=0,z=0

    Text Solution

    |

  10. Give the interpretation of the following equation x=a,z=c

    Text Solution

    |

  11. Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of ...

    Text Solution

    |

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

    Text Solution

    |

  13. If the origin is the centroid of the triangle PQR with vertices P(2a, ...

    Text Solution

    |

  14. Show that the points (1,1,1), (-2,4,1), (-1,5,5) & (2,2,5) form a squa...

    Text Solution

    |

  15. Find the coordinates of the points which divide the segment joining th...

    Text Solution

    |

  16. A & B are two pts (0,2,3) and (2,-2,1) respectively find the locus of ...

    Text Solution

    |

  17. find the equation of the sphere passing through the four points (0,0,0...

    Text Solution

    |

  18. Find the ratio in which the yz-plane divides the join of the points (-...

    Text Solution

    |

  19. A and B are two points (0,2,3) and (2,-2,1) respectively. Find the loc...

    Text Solution

    |

  20. Show that the plane ax+by+ca+d=0 divides the line joining the points (...

    Text Solution

    |