Home
Class 12
MATHS
Let A(2,-3)a n dB(-2,1) be vertices of a...

Let `A(2,-3)a n dB(-2,1)` be vertices of a triangle `A B Cdot` If the centroid of this triangle moves on the line `2x+3y=1,` then the locus of the vertex `C` is the line `2x+3y=9` `2x-3y=7` `3x+2y=5` `3x-2y=3`

A

`3x+2y=5`

B

`2x-3y=7`

C

`2x+3y=9`

D

`3x-2y=3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|21 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

Let A(2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on line 2x+3y=1, then the locus of the vertex C is the line :

Let A(2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then the locus of the vertex C is the line 2x+3y=92x-3y=73x+2y=53x-2y=3

Let A(2,-3) and B(-2,1) be the vertices of Delta ABC. If the centroid of this triangle moves on the line 2x+3y=1 then the locus of the vertex C is the line

Let A(2,-3) and B(-2,1) be the vertices of hat harr ABC. If the centroid of the triangle moves on the line 2x+3y=1, then find the locus of the vertex C.

Let A(-3,2) and B(-2,1) be the vertices of a triangle ABC. If the centroid of this triangle 1 ies on the line 3x+4y+2=0 then the vertex C lies on the line :

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -QUESTIONS FROM PREVIOUS YEARS. (AIEEE/JEE MAIN PAPERS)
  1. If x1,x2, x3 and y1, y 2, y3 are both in G.P. with the same common rat...

    Text Solution

    |

  2. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  3. Let A(2,-3)a n dB(-2,1) be vertices of a triangle A B Cdot If the cent...

    Text Solution

    |

  4. The equation of the straight line passing through the point (4. 3) and...

    Text Solution

    |

  5. If the sum of the slopes of the lines given by x^(2)+2cxy-y^(2)=0 is f...

    Text Solution

    |

  6. If one of the lines given by 6x^2- xy +4cy^2=0 is 3x +4y=0, then c=

    Text Solution

    |

  7. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  8. If a vertex of a triangle is (1, 1) and the mid-points of two side thr...

    Text Solution

    |

  9. If a,b,c are non-zero real numbers in H.P then the line (x)/(a)+(y)/(...

    Text Solution

    |

  10. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along diameters of a cir...

    Text Solution

    |

  11. A straight line through the point A(3, 4) is such that its intercept b...

    Text Solution

    |

  12. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

    Text Solution

    |

  13. Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...

    Text Solution

    |

  14. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  15. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  16. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  17. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  18. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  19. The lines x + y=|a| and ax-y = 1 intersect each other in the first qua...

    Text Solution

    |

  20. IfA(2,-3) and B(-2, 1) are two vertices of a triangle and third vertex...

    Text Solution

    |