Home
Class 12
MATHS
If (1,4) is the centroid of a triangl...

If `(1,4)` is the centroid of a triangle and the coordinates of its any two vertices are `(4,-8)` and `(-9,7),` find the area of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
`(333)/(2)` sq units
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|17 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|15 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If the centroid of a triangle is (1,\ 4) and two of its vertices are (4,\ -3) and (-9,\ 7) , then the area of the triangle is 183 sq. units (b) (183)/2 sq. units (c) 366 sq. units (d) (183)/4 sq. units

The coordinates of the centroid of a triangle and those of two of its vertices are respectively (2/3, 2), (2, 3), (-1, 2) . Find the area of the triangle.

find the third vertex of triangle whose centroid is origin and two vertices are (2,4,6) and (0,-2,5)

find the area of triangle whose vertices are (3,8),(-4,2)and (5,1)

The coordinates of centroid of a triangle are (sqrt(3), 2) and two of its vertices are (2sqrt(3), -1) and (2sqrt(3), 5) . Find the third vertex of the triangle.

Find the area of the triangle wohose vertices are (-8,4) ,(-6,6) and (-3,9).

Find the area of the triangle whose vertices are: (2,8),(-4,2),(5,1)

Find the area of the triangle whose vertices are (3,8), (-4,2) and (5, -1).

If the coordinates of the mid-points of the sides of a triangle are (1,\ 1),\ (2,\ -3) and (3,\ 4) , find the vertices of the triangle.

If Delta_(1) is the area of the triangle formed by the centroid and two vertices of a triangle Delta_(2) is the area of the triangle formed by the mid- point of the sides of the same triangle, then Delta_(1):Delta_(2) =

ARIHANT MATHS ENGLISH-COORDINATE SYSTEM AND COORDINATES -Exercise For Session 3
  1. The coordinates of the middle points of the sides of a triangle are (4...

    Text Solution

    |

  2. The incentre of the triangle whose vertices are (-36, 7), (20, 7) and ...

    Text Solution

    |

  3. If the orthocentre and centroid of a triangle are (-3, 5) and (3, 3) t...

    Text Solution

    |

  4. An equilateral triangle has each side to a. If the coordinates of its ...

    Text Solution

    |

  5. The vertices of a triangle are A(0, 0), B(0, 2) and C(2, 0). The dista...

    Text Solution

    |

  6. Area of the triangle with vertices (a, b), (x1,y1) and (x2, y2) where ...

    Text Solution

    |

  7. The points (x +1, 2), (1, x +2), ((1)/(x+1),(2)/(x+1)) are collinear, ...

    Text Solution

    |

  8. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  9. The centroid of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  10. The vertices of a triangle are (0, 0), (1,0) and (0,1). Then excentre ...

    Text Solution

    |

  11. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  12. If (1,4) is the centroid of a triangle and the coordinates of its a...

    Text Solution

    |

  13. Find the coordinates of the orthocentre of the triangle whose vertices...

    Text Solution

    |

  14. Show that the area of the triangle with vertices (lambda, lambda-2), (...

    Text Solution

    |

  15. Prove that the points (a ,b+c),(b ,c+a)a n d(c ,a+b) are collinear.

    Text Solution

    |

  16. Prove that the points (a, b), (c, d) and (a-c, b-d) are collinear, if ...

    Text Solution

    |

  17. If the points (x1, y1),(x2,y2), and (x3, y3) are collinear show that (...

    Text Solution

    |

  18. The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) an...

    Text Solution

    |

  19. Find the area of the hexagon whose consecutive vertices are (5, 0), (4...

    Text Solution

    |