Home
Class 12
MATHS
In a dimensional coodinate a system P, Q...

In a dimensional coodinate a system P, Q and R are image of a point `A(a, b, c)` in the XY they YZ and the ZX planes respectively. If G is the centroid of triangle PQR then area of Triangle AOG is (O is origin).

A

`0`

B

`a^2+b^2+c^2`

C

`(2)/(3)(a^2+b^2+c^2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

In a three dimensional co-odinate , P, Q and R are images of a point A(a, b, c) in the xy, yz and zx planes, respectively. If G is the centroid of triangle PQR, then area of triangle AOG is (O is origin)

In a three-dimensional coordinate system,P,Q, and R are images of a point A(a,b,c) in the x-y,y-z and z-x planes, respectively.If G is the centroid of triangle PQR, then area of triangle AOG is (O is the origin) (A) 0(B)a^(2)+b^(2)+c^(2)(C)(2)/(3)(a^(2)+b^(2)+c^(2))(D) none of these

The mirror images of the point (3,4,5) in the coordinate planes are A,B and C. The centroid of the triangle ABC is

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

    Text Solution

    |

  2. The position vectors of points of intersection of three planes rcdotn1...

    Text Solution

    |

  3. A pentagon is formed by cutting a triangular corner from a rectangular...

    Text Solution

    |

  4. In a dimensional coodinate a system P, Q and R are image of a point A(...

    Text Solution

    |

  5. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

    Text Solution

    |

  6. The locus of point which moves in such a way that its distance from th...

    Text Solution

    |

  7. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

    Text Solution

    |

  8. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

    Text Solution

    |

  9. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

    Text Solution

    |

  10. The shortest distance between any two opposite edges of the tetrahedro...

    Text Solution

    |

  11. The angle between the pair of planes represented by equation 2x^2-2y^2...

    Text Solution

    |

  12. Let (p, q, r) be a point on the plane 2x+2y+z=6, then the least value ...

    Text Solution

    |

  13. The fout lines drawing from the vertices of any tetrahedron to the cen...

    Text Solution

    |

  14. The shorteast distance from (1, 1, 1) to the line of intersection of t...

    Text Solution

    |

  15. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

    Text Solution

    |

  16. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

    Text Solution

    |

  17. If ABCD is a tetrahedron such that each triangleABC, triangleABD and t...

    Text Solution

    |

  18. In a regular tetrahedron, if the distance between the mid points of op...

    Text Solution

    |

  19. A variable plane makes intercepts on X, Y and Z-axes and it makes a t...

    Text Solution

    |

  20. If P, Q, R, S are four coplanar points on the sides AB, BC, CD, DA of ...

    Text Solution

    |