Home
Class 11
MATHS
Let A = (2,5) and B = (4, -1) are two ve...

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

A

9x-7y-22=0

B

9x+7y+22=0

C

27x+21y-77=0

D

27x+21y-78=0

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LOCUS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|8 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 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

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

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 (4,8), B(-2,6) are two vertices of a triangle ABC. Find the coordinates of C if the centroid of the triangle is (2,7).

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

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

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 .

Two vertices of a triangle are (3 , 5) and ( - 4 , -5) . If the centroid of the triangle is (4 , 3), find the third vertex.

If A(2a,4a), B(2a,6a) are two vartices of a Delta ABC then match the vertex C given by triangle

I: Let A ( 0, 0) , B ( cos alpha, sin alpha) , C ( sin alpha - cos alpha ) are vertices of a triangle then the locus of the centroid of triangle is 9 x ^ 2 + 9y^ 2 = 4 . II. The locus of the point ( a cos theta, b sin theta ) is ( x ^ 2 )/( a ^ 2 ) + ( y^ 2 )/(b ^ 2 ) = 1

AAKASH SERIES-LOCUS-EXERCISE-I
  1. If h denote the arithmetic mean, k denote G.M. of the intercepts made ...

    Text Solution

    |

  2. If a, b, c are in A.P., a, x, b are in G.P. and b, y, c are in G.P. th...

    Text Solution

    |

  3. Let A = (2,5) and B = (4, -1) are two vertices of a AABC. Third vertex...

    Text Solution

    |

  4. A point moves in the xy - plane such that th sum of its, distances fro...

    Text Solution

    |

  5. If A(a,0), B(-a,0) and angleAPB=45^(@), then the locus of P is

    Text Solution

    |

  6. A = (a,0), B = (-a, 0), P is a moving point such that anglePAB-anglePB...

    Text Solution

    |

  7. The locus of a point such that the sum of its distances from ...

    Text Solution

    |

  8. A point P moves so that the sum of its distance from the points (ae, 0...

    Text Solution

    |

  9. The perimeter of triangle is 14 units and two of its vertices are (-3,...

    Text Solution

    |

  10. A ( 2, 3 ) , B ( -2, 3 ) are two points. The locus of P which...

    Text Solution

    |

  11. The locus of the point represented by x=cos^(2)t,y=2sint is

    Text Solution

    |

  12. The locus of the point (sectheta+tantheta,sectheta-tantheta) where the...

    Text Solution

    |

  13. The locus of the point (a(costheta+sintheta),b(costheta-sintheta)), wh...

    Text Solution

    |

  14. If (p,q), (acostheta,bsintheta),(bcostheta,asintheta) are the vertices...

    Text Solution

    |

  15. The locus of the centroid of the triangle with vertices at (acostheta,...

    Text Solution

    |

  16. The locus of the point x=a+lamda^(2),y=b-lamda where lamda is a parame...

    Text Solution

    |

  17. The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) i...

    Text Solution

    |

  18. Statement-I : Let A(0,0),B(cosalpha,sinalpha),C(sinalpha-cosalpha) are...

    Text Solution

    |

  19. Let P(x, y) be any point on the locus then observe the following lists...

    Text Solution

    |

  20. Find the equation to the locus of points equidistant from the points ...

    Text Solution

    |