Home
Class 12
MATHS
A(2, 3), B(3, -5) are two vertices of De...

A(2, 3), B(3, -5) are two vertices of `DeltaABC`. C is a point the line `L-=3x+4y-5=0`. Then the locus of the centroid of `DeltaABC` is a line parallel to

A

AB

B

BC

C

AC

D

`L=0`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|168 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos
  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos
  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos
  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

Let A(1, 2),B(3, 4) are two vertices of a DeltaABC. The third vertex C moves along L=7x+ 5y-10=0 . The locus of the centroid of DeltaABC is

Let A = (2,5) and B = (4, -1) are two vertices of a AABC. Third vertex C moves along L=9x+7y+4=0 . The locus of the centroid of triangle ABC is the line

The vertices A and B of a triangle ABC are (2,5),(4,-11),C moves on the line L=9x+7y+4=0 . Then the locus of the centroid of the triangle ABC is parallel to

A(3, 1, 5), B(-1, -1, 9) and C(0, -5, 1) are the vertices of a triangle. Then find the position vector of the centroid of DeltaABC .

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

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

A and B are two fixed points and if the vertex 'C' of DeltaABC moves such that cot A + cot B =k , then show that locus of 'C' is a line parallel to AB.

If (3, -2) is the orthocentre and (-1, 4) is the circumcentre of DeltaABC then centroid of DeltaABC is

The image of the point (3, 4) w.r.t the line 3x+4y+5=0 is

A(0,2,3), B(2,-1,5),C(3,0, -3) are vertices of DeltaABC . If a,b,c are HG, GS, SH then their increasing order is (H,G, S are orthocentre, centroid and circumcentre)

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A
  1. The number of points P(x, y) with natural numbers as coordinates that ...

    Text Solution

    |

  2. Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centro...

    Text Solution

    |

  3. A(2, 3), B(3, -5) are two vertices of DeltaABC. C is a point the line ...

    Text Solution

    |

  4. The equation of the line dividing the line segment joining the points ...

    Text Solution

    |

  5. The equation of the line dividing the line segment joining the points ...

    Text Solution

    |

  6. The equation of the line dividing the line segment joining the points ...

    Text Solution

    |

  7. The equation of the line dividing the line segment joining the points ...

    Text Solution

    |

  8. The equation of the line dividing the line segments joining two pairs ...

    Text Solution

    |

  9. If a straight line L is perpendicular to the line 4x-2y=1 and forms a ...

    Text Solution

    |

  10. The equation to the line parallel to 2x+3y-5=0 and forming an area 4/...

    Text Solution

    |

  11. If a straight line perpendicular to 2x-3y+7=0 forms a triangle with th...

    Text Solution

    |

  12. The equation of a straight line, perpendicular to 3x-4y=6 and formin...

    Text Solution

    |

  13. The line 4x+3y+1=0 cuts the axes at A and B. The equation to the perpe...

    Text Solution

    |

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

    Text Solution

    |

  15. The variable line x//a+y//b=1 is such that a+b=10. The locus of the mi...

    Text Solution

    |

  16. The ends of a rod of length l move on two mutually perpendicu...

    Text Solution

    |

  17. If one vertex of an equilateral triangle of side a lies at the origin ...

    Text Solution

    |

  18. Two equal sides of isosceles triangle are given by equation 7x-y+3=0 a...

    Text Solution

    |

  19. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

    Text Solution

    |

  20. Two equal sides of an isoceles triangle are given by 7x-y+3=0 and x+y-...

    Text Solution

    |