Home
Class 14
MATHS
Consider the lines y = 3x , y = 6x , y =...

Consider the lines y = 3x , y = 6x , y = 9
The centroid of triangle is at which one of the following points ?

A

(3 , 6)

B

`(3/2 , 6)`

C

`(3 , 3)`

D

`(3/2 , 9)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos
  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos

Similar Questions

Explore conceptually related problems

Consider the lines y=3x, y=6x and y=9 The centroid of the triangle is at which one of the following points ?

Consider the lines y=3x, y=6x and y=9 What is the area of the triangle formed by these lines ?

Let A be the point of intersection of the lines 3x 2y = 14 , 5x – y = 6 and B be the point of intersection of the lines 4x 3y = 8 , 6x y = 5 . The distance of the point P(5, –2) from the line AB is

A straight line meet the axes in A and B such that the centroid of triangle OAB is (a,a). Then the equation of the line AB is (i) x+y=a (ii) x-y=3a (iii) x+y=2a (iv) x+y=3a

Two vertices of a triangle are A(2,1) and B(3,-2). The third vertex C lies on the line y=x+9. If the centroid of triangle ABC lies on y -axis,find the coordinates of C and the centroid.

If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3)y+x=0 . Then which of the following is an interior point of the triangle? (a)Circumcenter (b) Centroid (c)Incenter (d) Orthocenter

If 3x - 2y = 12 and 6x + y = 9 , then find the values of x and y

PUNEET DOGRA-POINT & LINE -PREV YEAR QUESTIONS
  1. If the centroid of a triangle formed by (7 , x) , (y , -6) and (9 , 10...

    Text Solution

    |

  2. Consider the lines y = 3x , y = 6x , y = 9 What is the area of the t...

    Text Solution

    |

  3. Consider the lines y = 3x , y = 6x , y = 9 The centroid of triangle ...

    Text Solution

    |

  4. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6)...

    Text Solution

    |

  5. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6)...

    Text Solution

    |

  6. The adjacent sides of a parallelogram are 6 cm and 8 cm and the angle ...

    Text Solution

    |

  7. A straight line intersects X and Y-axes at P and Q respectively . If (...

    Text Solution

    |

  8. Consider the two lines x + y + 1 = 0 and 3x + 2y + 1 = 0 What is the...

    Text Solution

    |

  9. Find the equation of a line passing through the point of intersection ...

    Text Solution

    |

  10. Find the mid-point of the line segment joining the points (4,-6) and (...

    Text Solution

    |

  11. What will be the angle between the lines y - x - 7 and sqrt (3 ) y...

    Text Solution

    |

  12. Consider the Delta ABC with vertices A( - 2 , 3) , B (2 , 1) and C (1 ...

    Text Solution

    |

  13. Consider the Delta ABC with vertices A( - 2 , 3) , B (3 , 1) and C (1 ...

    Text Solution

    |

  14. Let M be the foot of the altitude drawn from the vertex B to side AC o...

    Text Solution

    |

  15. The perpendicular distance between the straight lines 6x + 8y + 15 =0 ...

    Text Solution

    |

  16. A line passes through (2 , 2) and is perpendicular to the line 3x + y ...

    Text Solution

    |

  17. The area of a triangle , whose vertices are (3 , 4) , (5 , 2) and the ...

    Text Solution

    |

  18. The length of perpendicular from the origin to a line is 5 units and t...

    Text Solution

    |

  19. Find the equation of the straight line passing through the origin and ...

    Text Solution

    |

  20. The three lines 4x +4y = 1 , 8 x - 3y = 2 , y = 0 are

    Text Solution

    |